A Supplement to the Miscellaneous Works of the Late Dr. ArbuthnotJames Carlile, and sold, 1751 - 81 pages |
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Page 34
... give me 5 Shillings ; because , if I have 5 Shillings , I can purchase as good a Chance again , and that in a fair and juft Game . Prop . I. If I expect a or b , either of which , with equal probability , may fall to me , then my ...
... give me 5 Shillings ; because , if I have 5 Shillings , I can purchase as good a Chance again , and that in a fair and juft Game . Prop . I. If I expect a or b , either of which , with equal probability , may fall to me , then my ...
Page 35
John Arbuthnot. * , and the Gainer give to the Lofer a , this Game is juft , and ... give to the Lofer a ; by this means I have an equal Expectation to get a if ... Chance ; for if I play with another , fo that every one ftakes 5 , and the ...
John Arbuthnot. * , and the Gainer give to the Lofer a , this Game is juft , and ... give to the Lofer a ; by this means I have an equal Expectation to get a if ... Chance ; for if I play with another , fo that every one ftakes 5 , and the ...
Page 44
... Chance which gives him 6 at the fift throw , and five Chances against him ; fo there is one Chance which gives him a , and five which give a , which by the fecond Propofition , is worth a , fo there remains to his Fellow - Gamefter a ...
... Chance which gives him 6 at the fift throw , and five Chances against him ; fo there is one Chance which gives him a , and five which give a , which by the fecond Propofition , is worth a , fo there remains to his Fellow - Gamefter a ...
Page 45
... Chance which gives 12 at the first throw , and 35 Chances against him ; so he has 1 Chance for a , and 35 for a , which by the third Propofition is worth yoga , and there remains to his Fellow - Gamefter 1138a . From these it's eafy to ...
... Chance which gives 12 at the first throw , and 35 Chances against him ; so he has 1 Chance for a , and 35 for a , which by the third Propofition is worth yoga , and there remains to his Fellow - Gamefter 1138a . From these it's eafy to ...
Page 47
... Chance to get 6 the first throw , and five to miss it ; he has therefore , at first , one Chance fora , and five ... give 7 and 3 which give 10 , and 27 which equals the Game , in which cafe there is due to each of us a : But if none of ...
... Chance to get 6 the first throw , and five to miss it ; he has therefore , at first , one Chance fora , and five ... give 7 and 3 which give 10 , and 27 which equals the Game , in which cafe there is due to each of us a : But if none of ...
Other editions - View all
A Supplement to the Miscellaneous Works of the Late Dr. Arbuthnot (Classic ... John Arbuthnot No preview available - 2018 |
A Supplement to the Miscellaneous Works of the Late Dr. Arbuthnot John Arbuthnot No preview available - 2022 |
A Supplement to the Miscellaneous Works of the Late Dr. Arbuthnot (Classic ... John Arbuthnot No preview available - 2017 |
Common terms and phrases
A's Hazard abfolute againſt bability becauſe befides Brafs Bribe Cafter Calculation caufe Chance which gives chufe Confent confequently Conftitution Country Curfed fhalt Cycloid Defire demonftrate different Throws do'st thou Doublets eafily eafy equal hazard exegi Expectation faid fame fecond Fellow-Gamefter ferve fhall fhall give fhare fhew fhould fince firft Game firſt fixth fome four Chances ftands ftill fubject fuch fuppos'd fwing gain gain'd Gamefters Games wanting greateſt Hazard is worth Hazard to B's himſelf Houſe Huygens's juft King laft Latitudinarian leaſt lefs Liberty likewife lofe Lofer Longitude Magiftrate moft muft muſt myſelf number of Chances number of Dice obferve otherwife Pendulum play Pofition Power prefent Prop Publick purchaſe purpoſe Reafon reft Royal Prerogative Setter ſhall Shillings Ship ſmall Stake Suppofe thee thefe Thermometer theſe third Propofition thofe thoſe tion undertakes to throw Wager to throw whofe zard
Popular passages
Page 23 - And it shall come to pass, if thou shalt hearken diligently unto the voice of the LORD thy God, to observe and to do all his commandments which I command thee this day, that the LORD thy God will set thee on high above all nations of the earth...
Page 25 - With look erect, I dart my longing eye, Seem wing'd to part, and gain my native...
Page 21 - A. No doubt but every Landed Man would be glad to be free from paying Two Shillings in the Pound ; but at the fame time I would not raife by another Tax Two Shillings in the Pound, nor One Shilling in the Pound for a Perpetuity. For Parliaments who haye no more to give, may be difappointed in the Redrcfs of their Grievances.
Page 31 - ... to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning; and when they cannot...
Page 18 - People ? A. The People ought to have more Security for all that is valuable in the World, than the Will of a mortal and fallible Man. A King of Britain may make as many Peers, and fuch as he pleafeth; therefore the laft and beft Security for the Liberties of the People, is a Houfe of Commons genuine and independent.
Page 24 - Cursed shall be the fruit of thy body, and the fruit of thy land, the increase of thy kine, and the flocks of thy sheep. Cursed shalt thou be when thou comest in, and cursed shalt thou be when thou goest out.
Page 28 - In vain tliou hopest for bliss on this poor clod, Return, and seek thy Father, and thy God: Yet think not to regain thy native sky, Borne on the wings of vain philosophy; Mysterious passage ! hid from human eyes ; Soaring you'll sink, and sinking you will rise Let humble thoughts thy wary footsteps guide, Regain by meekness what you lost by pride.
Page 25 - Vile as the grinning maftiff at my gate, Calls off from heav'nly truth this reas'ning me, And tells me, I'ma brute as much as he.
Page 21 - Impoflibility 5 for if my Tenant has any new Tax laid upon him, I am afraid he will not pay me fo much Rent ; fo that the new Tax muft ftill affect Land.
Page 15 - A. Becaufe Mankind in a State of Slavery and Freedom is a different Sort of Creature , for Proof of this I have read what the Greeks...