exercise:5cb629cbe0: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> If the first roll in a game of craps is neither a natural nor craps, the player can make an additional bet, equal to his original one, that he will make his point before a seven turns up. If his point is four or ten he is paid off at <math>2 : 1<...") |
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If the first roll in a game of craps is neither a natural nor craps, the player can make an additional bet, equal to his original one, that he will | |||
craps, the player can make an additional bet, equal to his original one, that he will | |||
make his point before a seven turns up. If his point is four or ten he is paid off | make his point before a seven turns up. If his point is four or ten he is paid off | ||
at <math>2 : 1</math> odds; if it is a five or nine he is paid off at odds <math>3 : 2</math>; and if it is | at <math>2 : 1</math> odds; if it is a five or nine he is paid off at odds <math>3 : 2</math>; and if it is | ||
a six or eight he is paid off at odds <math>6 : 5</math>. Find the player's expected winnings | a six or eight he is paid off at odds <math>6 : 5</math>. Find the player's expected winnings | ||
if he makes this additional bet when he has the opportunity. | if he makes this additional bet when he has the opportunity. | ||
Latest revision as of 10:39, 14 June 2024
If the first roll in a game of craps is neither a natural nor craps, the player can make an additional bet, equal to his original one, that he will make his point before a seven turns up. If his point is four or ten he is paid off at [math]2 : 1[/math] odds; if it is a five or nine he is paid off at odds [math]3 : 2[/math]; and if it is a six or eight he is paid off at odds [math]6 : 5[/math]. Find the player's expected winnings if he makes this additional bet when he has the opportunity.