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impression of acrimony. If applied to the mian, Nemean, &c. games; and, among the faine of a candle, it melts and blazes, throw- Romans, the Apollinarian, Circensian, Capi. ing out sparks, and emitting a dense black toline, &c. games. See OLYMPIC, PYTHIAN, smoke.

FUNERAL, &c. Gamboge is not soluble, though extremely Game, for the preservation of which such diffusible in water, with which it forms an a succession of laws bave been enacted, were, in opake yellow-coloured infusion; by passing many of the preambles to former acts of pariiathe liquor through a filter some resin is detain- ment, extended anong birds to the heron, pigeon, ed, but the Huid still continues coloured and mallard,duck,teal,widgeon, and various other fowls; turbid. Alkohol proves a more effectual sol- but in the present contemplation of law and praca vent, taking up the gamboge in large quantities, tice, game is generally limited to the hare, phraand forming a clear gold-coloured fluid. Both sant, partridge, heath-fowl, and moor-game, which the fixed alkalies and ammonia effect almost a

are the whole embraced by the game laws; and total solution of gamboge, producing a clear that persons possessed of due qualifications, as liquor of a deep and rich red brown colour, kill. Deer of every description are also denomi

well as of annual certificates, are empowered to and the residuum, being pure gum, is entirely nated game; but they are protected by approprii soluble in water. The addition of an acid to ate laws. Rabbits were also included in many of the alkaline solution throws down a copious the earliest acts relating to game, but are now reyellow precipitate, which, when dried, presents garded of no consequence, except in warrens, an earthy fracture, is difficulty combustible, where, being private property, and productive of and does not smell like the pure resin.

annual profit, they are protected by laws for the In medicine gamboge is generally employed security of the owner, with very heavy penalties as a drastic purgative, and, after having been annexed to their destruction. Proprietors of dovelong obsolete in practice, is again bronght

for- house pigeons have likewise legal means of redress, wards in the new pharmacopeia of the London upon their pigeons being wantonly shot at or decollege, in the form of pills. (SeePHARMACY.) &c. are not without laws for their increase and

stroyed. The mallard, wild duck, widgeon, teal, It may be found useful in obstinate constipa, proportional preservation, but they do not, in the tions of the bowels, hydropical affections, and technical language of the day, come under the worm cases produced by the tænia visceralis or designation of game. For these last, see the article tape-worni.

Decoy. Besides its medical application, gambuge is GAME COCK, a variety of the phasianus gallas, extensively used as a water colour; and its almost peculiar to this country, whose natural tincture in alkohol is one of the ingredients of and instinctive courage will never permit him to the gold-coloured lacquer with which most of yield to an opponent, however superior in weight the smaller articles that are made of brass are and strength; continuing, even under those disad. overlaid: it is also employed by the inlayer and vantages, to fight till literally cut to pieces. After cabinet-maker to stain white woods in inita- the loss of eyes, with the body wounded in every tion of box, &c.

part, when even the use of his legs are gone, and GAMBOL. s. (from the verb.) 1. A skip; upon the sod, with his victorious opponent exult

he is no longer able to stand, but lies extended a hop; a leap for joy (L'Estrange). 2. A fro- ingly crowing over his mangled frame, he will conlic; a wild prank (Hudilras).

tinue to show fight with his beak to the last ree GAMBREL.s. (from gamla, Italian.) The mains of life. leg of a horse (Grew).

Game cocks are bred of various colours, accord. GAME. s. (gaman, a jest, Islandick.) 1. ing to the fancy or opinion of different amateurs : Sport of any kind (Shakspeare). 2. Jest; op- of these colours, the chief are the following: The posed to carnest or seriousness (Spenser): 3. black or pheasant-breasted red; the black-breastInsolent merriment; sportive insnlt (Milton). ed ginger; the speckle-breasted ginger dun; the 4. A single match at play. 5. Advantage in black-breasted yellow duckwing; the turkey-breastplay (Dryden). 6. Scheme pursued; measures

ed duckwing; the smutty dun; the brass-winged planned (Temple). 7. Field sports: as, the black; and the smock, which is a milk-white, hava chase (Taller). 8. Animals pursued in the ing the apptarance of a common barn-door fowl ; field (Prior). 9. Solemn contests, exhibited offered against this last whenever brought to pit,

in consequence of which there are generally odds; as spectacles to the people (Denhain).

which is now but seldom, the breed being nearly or To Game. v. n. (zaman, Saxon.) !. To quite destroyed. play at any sport. 2. To play wantonly and It is an opinion nearly unanimous, that if you extravagantly for money (Locke).

breed entirely for the pit, nu cock selected for this GAME, in general, signifies any diversion or purpose should be younger than two, or older than sport that is performed with regularity and re- six years; and although it is right to breed from a strained to certain rules. (See Gaming.) strong, bony, close-made, majestic, high-standing Games are usually distinguished into those of cock, it is by no means prudent so to du from cocks exercise and address,

and those of hazard. To much above match weight; that is to say, vever the first belong chess, tennis, billiards, &c. and to exceed four pounds, twelve ounces, at the utto the latter those performed with cards or dice, most; for should the lens prove large also, the. as back-gammon, ombre, picquet, whist, &c. progeny might sun still giore into size and bone,

and never fall into any match whatever. See BacK-GAMMON, &c.

in breeding game chickens, to attain success, Games, in antiquity, were public diversions the following general roles should be strictly atexhibited on solemn occasions. Such, among tended to. No brood-cock should walk with inore she Greeks, were the Olympic, Pythian, Isths than four hens; three being, in fact, fully sufficie

N

Ant. Gaine liens should never be permitted to the house of correctivly, and kept to hard labour bring forth a clutch of chickens before the last for three months; or be may be lined in a penalty week in February, nor after the first week in My; of 51. in like manner as biglers and others who thosc alone which are hatched in March and April sell game should be chosen for the pit, as being preferable, By 48 Geo. 3. c. 93. The loril or lady of any in size and growth, to those hatched at any other manor may appoint any person whatever, whether geason of the year. Hens after hatching should acting as a gainekeeper to any other person or not, he cooped asunder, where the chickens cannot or whether retained and paid for as the male serintermix; as th hens will not only kill the young vant of any other person or not, on whether a of each other, but fight themselves with the same qualified person or not, to be a ganrekeeper to such inveteracy as the cocks. If a game hen, with manor, with authority to kill gane within the same chicken, retrcots when attacked by another in the fur his own usc, or for the use of any other person samne state her produce may be suspected to prore whatever, to be specified in such appointment, defective in courage; but perhaps this opinion is whether qualified or not; and no person so apnot founded on fact; for the younger will always pointed gamekeeper shall be deemned or taken tu yield to the older whatever her natire courage. be, or entered or paid for as the gamekeeper, or

During the first year after being hatched the male servant of the lord or lady making such apbrood are called chickens; from twelve months to pointmeùt. two years old stags, and at that period cocks, being And any person appointed gamekeeper under then judged in their prime; but they are provably this act to kill game for his own use, or the ase of more so at three, if properly walked. Cock any other person, shall have the same power as if chickens should never be permitted to run too long he had been legally qualified to act asgainekeepers together, but may be separated as soon as they be- to kill game for the use of the lord or lady of the gin to fight with cach other; and this otrght to be inanor, the more strictly attended to, because it frequently One gamekecper only can be appointed to kill. happens, that out of a whole clutch, by neglect or game within one manor; and by virtue of bis office inattention, in consequence of scalped heads, loss or deputation, be is empolvered to take and seize of eyes, broken beaks, or deformed feet, not one all guns, bows, greyhounds, setting-dogs, lurchers will remain capable of being brought to the and ferrets; all trammels, low-bells, haysgor other scale.

rets, hare-pipes, snares, or other enigines, for the Cock chickens, when first removed, at three of taking and killing of hares, pheasants, partridges, four months old, are placed where they continue or other game, within the precincts of such manor, to walk under an old cock, and will remain sub- in the possession of any person not qualified to missive till nine and ten, or sometimes twelve keep the same. But it does not appcar by the act months old; the experiment is nevertheless too (230 Charles II. c. 25. s. 2.) that a gameheeper is hazardous; and they had much better be taken to empowered to seize the gaine, although he is aua master-walk at an earlier period, to avoid the thorised to take all instruments in use for the deprobability of being spoiled.' The most eminent striction of it. breeders, as well as the most enthusiastic betters, A gamekeeper having no other qualification have one mode of endeavouring to fix a criterion, thap bis deputation and certificate, is not entitled how far they can depend upon the heel, the fight, to kill gaine out of the precincts of the manor fur and the blood, of any particular breed or cross which he is appointed. Nor is he empowered to they may have heco induced to adopt. This ex- demand the name, or a sight, of the certificate of periment (clreadfully cruel as it is) is termed cuts any qualified person out of bis own district, unting out, and consists in pitting such chicken of less lie is qualised to kill game in his own right, seven, eight, and nine months old, unarmed, (exclusive of his deputation,) and is possessed of against their own brothers, or others of superior his three-guinea certificate obtained in virtue of age, weight, and strength, having silver spurs; if his own right to kill, as well as his guinea-certificate the chicken, 90 onarmed, and without the un account of bis deputation; in which case he least chance of success, continues the combat may do either or both. But although he is quatill completely deprived of life, without dis- lified to kill game iu his own right, and acts under playing the least tendency to cowardice, or con- a deputation for a certain specified manor, be is sciousness of defeat, inore of his brothers have the liable to the penalty prescribed by the act, if he tame severe and fiery ordeal to undergo, when, if be informed against for, and convicted of, killing the result is just the same, the cross is admitted game out of that manor, without being previously to be good, and the breed is persevered in, till, possessed of the three-yuinea certificate. from other circumstances, the blood is suspected GAME-LAWS: laws framed for the preservation to degenerate, when new crosses are adopted, and of game, by different acts of the legislature and in new experiments made. Sce COCkikG, COCK- different periods of its history, and now become, MATCH, and COCKPIT.

in no small degree, kuluminous and perplext. The GAMEREEPERS, are persons delegated to pro- following is a sammary of the chief. vide game for those by whom they are appointed, Persons held legally qualified to kill game, to preserve and protect it agairist poachers by night, must be in the full and undisputed possession of a and unqualified sportstren by day, and also against freehold landed estate, producing a clear 1001. per any unfair or improper destruction of it. Every annum; or possessed of a lease, or leases, for ford or lady of a mauor is authorised, by writing ninety-nine years, or any longer term, of the under their hands and seals, upon a 30s. stamp, to clear yearly value of 1501. or else the heir apparent empower a game-keeper to kill within the said of an esquire, or other person of higher degree, 29 manor any hare, pheasant, partridge, or other and 23 Car. 2.c. 25. But esquires, as defined by law, game; and if such game-keeper shall sell or dise are the younger sons of noblemen, and their heirs pose of the gatire bie shall so kill, without the male for ever : the four esquires of the king's knowledge or consent of the said lord or lady, and Body: the eldest sons of baronets, of knights of shall be convicted, upon the oath of one witness, the bath, of knights bachelors, and their heirs male before a justive of peace, be shall be committed to in the right lina A justice of the peace is also an esquire for the time he is in the commission, but er, in every year, cause the names and residences Iwo longer.

of the persons certificated, to be inserted in some Persons of higher degree than esquires are newspaper circulating in each county. e lonels, serjeants at law, an doctors in the three And if any person shall use any dog, gun, net, or learned professions ; but neither esquires, por any other engine, without having obtained such certifi. of these, are qualitied to kill game, unless they cate, such person shall be liable to the duty of 31.3s. bave the requisite estate menticned; though their and also shall forfeit 201. over and above the duty; suns are qualities without any estate. This, hope the said duty to be assessed by way of surcharge. erer unreasonable it may seem, lias been fully de- Restrictions as to the time of killing game are cided to be the true constrnction of the act. But as follow : no partridge to be killed between the 1st in adılition to every necessary qualitication either of February and ist of September, under a penal. by deputation or estate, according to the construc- ty of five pounds. No pheasant between the 1st of tion of all foriner acts, certain duties are cbarve. February and Ist of October, under the like penalable under the last assessed tax act (48 Gco. 3. c. ty. No grouse, or red game, between December 55. sched. L.) upon every person who shall use 10th and August 12th. No heath fowl, or black any dog, gud, net, or other engine, for the purpose game, between December 10th and August 201h.

killing any ganie ujatever, or any woodcock, No bustards between March 1st and September 1st. sn po, quail, or lan:Irail, or any conies, in any part No time is limited for the killing hares, provided oi Great Britain, that is to say:

they be legally taken. No game whatever is to be If such person shall be a servant to any person killed or taken between seven at night and six in duly charged in respect of such servant to the due the morning, from 12th February to 12th Octo: ties granted on servants, and shall use any dog, ber, and between nine at night and four in the gun, net, or other engine, for any of the purposes morning the rest of the year, nor on a Sunday or before mentioned, upon any manur or royaliy, by Christmas-day, upon pain for the first offence to sirtue of any deputation or appointment, as game. forfeit not less than 101.nor more than 201. and for kes per thereto, there shall be charged the annual the second offence not less than 201. nor more than suns of

£110 301. for any other offence to be committed till the And if such person shall not be a servant for next general quarter sessions, or bound over as whom the said duties on serrants shall be charged, well as the informer; and if convicted to pay 501. there shall be charged the annual sum of 3 3 0 and be committed till payment, but not forlessthan

Upon every otiur person who shall use any dog, six months nor more than twelve, and to be gun, net, or other engine, for any of the purposes whipped at the end of imprisonment: but not to before mentioned, there shall be charged the an- be proceeled against without information on oath nual suin of

3 30 within a month. The taking of woodcocks and snipes with nets And persons to the number of two or more fourd or springs; or, the taking of conies in warrens, or in any forest, chose, park, wood, plantation, pada inclosed ground, or by any person on land's in his dock, field, meadow, or other open or inclosed oin occupation, does not make the party liable to ground, in the night between eight and six, from 1st either of the abole duties. The party is to pay October to 1st February, or between ten and four, the duty anitially to the collectors of the parish, froin 1st February to !st October, having one gun together with one stilling over and above the duty, or engine, with intent to kill or take game, or and obtain a certificate thereof, which certificate persons aiding with offensive weapons, may be app sball continue in furre till April 5 following. prehended, and, on conviction before a justice,

The parochial collector is to give to the party shall be deemed rogues and ragabonds. 2 recript for the duty on unstamped paper; u hichi, Any unqualified person exposing a hare, pheabeing delivered to the clerk of the cuonissioners sant, partridge, or other game to sale, is liable to for the district, shall be exchanged for a certificate a pena ty of 51. For selling a hare, pheasant, from the said clerk, gratis,

partridge, or other game, qualified or unqualified, Neither the payment of this daty, nor the certifi- 5!. If either be found in the shop, house, or posa cate delivered, szall aui horise any person to use sess on of any poulterer, salesman, fiskmonger, any dog, gun, pet, or other engine, at any times cook or pasiry.cook, or of any person not qualior in any manner probibited by law, nor unless fed in his own right to kill gaine, or not entitled such person shall be duly qualitiedl so to do. Nor thereto under some person so qualifjed, it shall shall any assessment or certificate under a reputa- be deemed an exposing of the saine to sale. tion be received in evidence, where proof shail be The words of the stat. 5 Ann. c. 14. whereby giren of the party's having acted out of the limits angualified persons using any engine to kill or de. of the manor.

stroy hares, pheasants, partridges, or other game, If any person shall be found using any doz, gun, are liable to a penalty of 51. as well as for keeping pet, or other engine, by an assessor or collector, and using greyhounds or setting-dogs, are in the or by any commissioner of assessed taxes, or by disjunctive, viz. keep or use any greyhounds, set. any lord, or gamekeeper of the manor, or by any ting-dogs, hays, lurchers, or any other engines to inspector, or surveyor of taxes, or by any person kill and destroy the game: the offences are thereduly assessed to the duties, or by the owner, land- fore distinct and several, and a conviction either lord, lessee, or occupier of the land, they may de- for the keeping or for the using any of the dogs of mand the produetion of his certificate ; and if the kinds enumerated will be good. The penalties such person shall, after such demand, refuse to against the game-laws may be recovered either by produce a certificate, or, in default tbereof, to a summary conviction before one justice, or by give in to the person demanding the same his chris- action in any court of record at Westminster, tjan and surname, and place of residence, and the brought within six lupar months, The whole parish (if any) in which he shall have been assess- penalty to be given to the informer, with double ed, or shall produce any false certificate, or give costs. Informations b're justices of the peace any fa'se name, place of residence, or place of must likewise be laid within six months, and on a assessment, such person shall forfeit 201.

summary conviction, thence half the penalty is to The commission ers of taxes shall once, or often the informer, and half to the poor,

A qualified person cannot enter upon another money, and lose the sum of 1001. on credit, at one man's ground to kill game, without being liable to meeting, if the money is not paid down, his secuan action for trespass; but if the party be quali- rity taken for it shall be void, and the winner fied to kill game, and an action be brought for the becomes liable to a forfeiture of treble value of trespass, if the damages recovered be under 40s. he such money won. 16 Car. Il.c. 7. Not only all sball in such case pay no more costs. However, notes, bills, bonds, mortgages, or other securities if the owner or occupier of the land expressly fore- given for money won at gaming, are declared warns another not to come or hunt thereon, and, void; but also where lands are granted, they shall notwithstanding such warning, he does, this is a go to the next person entitled, after the decease wilful trespass: and if an action be bronght for of the person so encumbering the same. Persons the same, he will be liable, whether qualified or losing by gaming at one time 101. may recover the not, to pay full costs, although the damages re- money lost from the winner, by an action of covered may be under 40s. However, any unquali- debt brought within three months; and on the fied person may go out to beat hedges, bushes, loser's not prosecuting, any other may lawfully and mark birds, in company with a qualified per- do it, and recover treble the value, with costs. son, or to see the game pursued and taken, with- 9 Anne, c. 14. Those who cheat at cards, dice, out being liable to any penalty, provided he have &c. besides their forfeitures, have inflicted on no dog, gun, or engine, of his own, to assist in its them such infamy and corporal punishment, as in destruction.

cases of perjury; and beating, or challenging any GAMELIA, a sacrifice held in the ancient other person to fight, on account of money won Greek families, on the day before a mar- by gaming, shall forfeit all their goods, and be riage.

imprisoned two years: and where persons play GAMELION, in ancient chronology, the that have no visible estates, and do not make it 8th month of the Athenian year. It contained appear that the principal part of their mainten

ance is got by other means than gaming, they 29 days, and answered to part of our January may be bound to their good behaviour by two and February.

justices of the peace, &c. Stat. ibid. See 2 Geo. GAMESOME. a. (from game.) Frolic. \I. c. 28. The ace of hearts, pharaoh, basset, &c. some; gay; sportive (Sidney).

are judged to be lotteries by cards or dice; and GAʼMESOMELY. ad. merrily.

persons who set up those games are subject to GAʼMESOMENESS s. (from gamesome.) 2001. penalty. And every adventurer, who shall Sportiveness ; merriment.

play, stake, or punt at then, forfeits 501. Also GA'MESTER. s. (from game.) 1. One any sales of houses, goods, plate, &c. in such a who is vitiously addicted to play (Shakspeare). way, are void, and the things forfeited to any 2. One who is engaged at play (Bacon). 3. À who will sue for the same. 12 Geo. II. c. 28. See frolicksome

Disney's Laws of Gaming, Wagers, &c. person (Shakspeare). 4. A prostitute: not in use (Shak.).

GAMING (Mathematical laws of). The busiGAMING, the art of playing or practising gaming depend, is of mathematical consideration ;

ness of chance or hazard, on which the laws of any game, particularly those of hazard, as cards, inasmuch as it admits of more and less. It is, or dice, tables, &c. It appears that by the ancient common law, all which the gamesters set out: this equality is to be

is supposed to be, an equality of chance, upon games were lawful. But so early as the reign of broken in upon in the course of the game, by the Richard II. the legislature found it necessary to interfere, and to make several games illegal. greater good fortune or address of one of the par. This was levelled at labourers and artificers. The ties, upon which he comes to have a better next statute was the 2d Hen. IV. which inflicted chance; so that his share in the deposit, or stakes, six days imprisonment on those who offended first ; this more and less is continually varying,

is now proportionably more or better than at against the act of Rich. II. The 17th Edw. IV. and runs through all the ratios between equality imposes a penalty of two years imprisonment on those who offended against the act of Richard II. little difference till it arrives at an infinitely great

and infinite difference; or from an infinitely The 17th Edw. IV. imposes a penalty of two years imprisonment and a fine against various one, upon which the game is ended. The whole games there enumerated ; and by the lith Hen. game, therefore, with respect to the event or VII . labourers and artificers are prohibited from each person's share, or chance, or of the propor

issue thereof, is only a change of the quantity of playing at unlawful games, but in Christmas only. tion their two shares bear to each other ; which The principal object of these early statutes was, mathematics alone can measure. to encourage archery, and to make that the only lawful sport for the lower ranks of the people. riety of chance in several cases and circumstances

Hence several authors have computed the vaBut the earliest act against gaming now in force that occur in gaming ; particularly M. de Moiis the 33d Henry VIII. which gives justices of peace and head officers in corporations a power Chances, the best edition being published in

vre, in a Treatise entitled The Doctrine of to enter all houses suspected of unlawful games, 1956; of which we shall here give the reader an and to arrest the gamesters till they give security abstract. See also CHANCE. not to play for the future. Persons keeping any unlawful gaming-house are fined 40s, and the throaws of one die. The first part of the probability

1. To find the probability of throwing an ace in two gamesters 6s. 8d. a time. If any person by fraud, required is that of throwing an ace at the first

or races, foot-races, &c. or bearing a share in the

6) stakes or betting, shall win any money or valuable thing of another, he sinali

forfeit treble the value missing it in this throw is a, and that of throw. if

the second part of the

merry

cards or dice, tables, bowls, cock-fighting, horse throw, which is a but, as the probability of

of the said games upon tick, and not for ready ing it in the second is

5

1

210

36

5

+

369

16

80

x

1 296'

80

171

+

36

210

1

+

+

+

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probability required, being the product of both

16
5
throwing it twice in three throws is

by case these, will be xx ; and therefore the 6 6 5 11

5; therefore the probability of both together is whole probability is

6 36 2. To find the probability of throwing an ace in three

the second part of the probability

216 throws. The probability of throwing it in the required; and, there!ore, the whole probability first throw is ; and the probability of miss

91 is

1296 1296 1296 ing it is , which being multiplied by the In the same manner we may find the probabili

ty of throwing an ace as often as shall be demand. frobability of throwing it in the two remaining ed in any given number of throws. 5 il 55

From these familiar and more restricted cases, times by Case 1, will give x

for the se

we may deduce a more general and comprehencond part of the probability required; and there. sive theorem. Let a be the number of chances

55

for the happening of an event, and b the number fore the whole probability will be

of chances for its failing; then the probability of 6 216

its happening once in any number of trials will be 91

a Ն

abb 216

expressed by the series

a + b '(a + )2' (a + b)3 3. To find the probability of throzving, an ace in four brorps. This is evidently, by ihe preceding

a 14

&c. continued till the num91 455 671

(a + b)'' (a + b)
; and the
1296 1996

pro

ber of terms be equal to the number of trials 625

671 bability of the contrary is

given: e. gr. let a be = 1, b = 5 and the numbecause 1296

1296

ber of trials given be 4, the probability re625 1296

25 = 1, which denotes certainty.

quired will be expressed by

+ 1290 1296

6 216 1296

671 4. To find the probability of throwing truo aces in two

1296 throws. The probability required is

6

Again, the probability of the event's happening

twice in any given number of trials will be ex1 the events in this case being independent.

2 a ab 3 aa bb

pressed by the series See EXPECTATION.

(a + b)2(a + b)" (a + b)* 5. To find the probability of throwing two aces in three 4 a a 63 5 9 a 14 throws. The probability of throwing an ace in the

&c.continued, till the num

(a + b)s" (a + b)" 6' and the probability of throw- ber of terms, wanting onę, be equal to the num.

ber of trials given : e. gr. let a be=1, b=5, and

11 ing it once in the two remaining throws is

the number of trials be=8, the probability re

10 by case 1: consequently the first part of the pro.

quired will be expressed by +

216 1296 1 11 11

500 But if the

3125 18750 109375 663991 bability required is

6.
216

7776 46656' 279930 16796161679616 ace be missed the first time, the probability of 5

And the probability of the event's happening which is

6'
there remains the probability of thrice in any given number of trials will be ex.

3 a3b 6 0362 throwing it twice together, which is

by pressed by the series 36

(a + b)(a + b)* (a + b)" case 4 ; therefore the probability of both events 10 23 13 15 03 14 5 1

&c. continued, till the number is

36-27o; and the whole probability re- (a + b)** (a+b)
11 + 5 16

of terms, wanting two, be equal to the number of quired is

terms given. These particular series may he com216 2169

prehended under a general one in the following 6. To find the prebability of throwing twa aces in four manner: let a and 7 lie as before, and their sum throws. The probability of throwing an ace the =a+b=s; I the number of times which the

event is required to happen in any given number first time is ö, and the probability of throw

of trials represented by n; then the probabiliiy 91

of the event's happening I times in a trials will be ing it in three times is by Case 2: and 216

al

16 1.7+1.6b 91 expressed by the series

MT +

1 + the probability of both happening is

6 216

1.7+1.1+2.63 1.1+1.1+2.1+3.64 the first part of the probability required.

&c 1.2.3.

1.2.3.44 But the probability of missing the ace for the continued to as many terms, exclusive of the com

5 first time is

16

and the remaining probability of mon multiplier as are denoted by the number

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