Of the Laws of Chance Or a Method of Calculation of the Hazards of Game Plain
Of the Laws of Chance Or a Method of Calculation of the Hazards of Game Plain
John Ham
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Suppofe A wagers with B, that with one Die he fhall throw 6 at one of three Throws, and that each of them ftakes 108 Guineas ; to find what is the proportion of their Hazards. Now there being in one Throw of a Die but one Chance for 6, and five Chances againft it, one Throw for 6 is worth 4. Of the Stake ; therefore fays B to A y of the 216 Guineas take a fixth part for your fir ft Throw, that is, 363 for your next Throw take a fixth part of the re- maining 1 80, that is, 30 > and for your thir...d Throw, take a fixth part of the re- maining 150, that is, 25, which in all make 91, leaving to me 125; fo his ha- zard who undertakes to throw 6 at one of three Throws, is 91 to 125. Suppofe A had undertaken to throw 6 with one Die at one Throw of four, and that the whole Stake is 1296 ; fays A to B y every Throw for 6 of one Die, is worth the fixth part of what I throw for ; there- fore for my firft Throw give me 2 16, which is the fixth part of 1296, and there re- mains 1080, I muft have the fixth part of that, viz.
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