A B
1st year £100 | 50} 1st year
2nd " 120 | 55}
3rd " 140 | 60} 2nd "
4th " 160 | 65}
| 70} 3rd "
| 75}
| 80} 4th "
| 85}
---- | ----
£520 | £540
A spieler at a Country Show amused the people with the following
game:--He had 6 large dice, each of which was marked only on one
face--the first with 1, the second 2, and so on to the sixth, which
was marked 6. He held in his hand a bundle of notes, and offered to
stake £100 to £1 if, in throwing these six dice, the six marked faces
should come up only once, and the person attempting it to have 20
throws.
Though the proposal of the spieler does not on the first view appear
very disadvantageous to those who wagered with him, it is certain
there were a great many chances against them.
The six dice can come up 46,656 different ways, only one of which
would give the marked faces; the odds, therefore, in doing this
in one throw would be 46,655 to 1 against, but, as the player was
allowed 20 throws, the probability of his succeeding would be--
20
------
46,656
To play an equal game, therefore, the spieler should have engaged to
return 2332 times the money deposited.