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March 24th, 2018, 05:39 PM   #1
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Betting game sum of two dice

How to design betting game using sum of two dice where the expected value of a single play is $0.18 in favor of the player? i was thinking: if you roll the sum divisible by 3, you will get $2.54,otherwise,you loose $1?
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March 24th, 2018, 09:23 PM   #2
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Originally Posted by simonida View Post
How to design betting game using sum of two dice where the expected value of a single play is 0.18 dollar in favor of the player? i was thinking: if you roll the sum divisible by 3, you will get 2.54 dollars otherwise,you lose 1 dollar.
Made your question legible (dollar signs invoke the LaTeX editor.

$\dfrac{2}{6} * 2.54 + \dfrac{4}{6} * (-\ 1) = \dfrac{5.08 - 4}{6} = \dfrac{1.08}{6} = 0.18.$

Your answer looks good to me.
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March 24th, 2018, 10:00 PM   #3
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Originally Posted by simonida View Post
How to design betting game using sum of two dice where the expected value of a single play is \$0.18 in favor of the player? i was thinking: if you roll the sum divisible by 3, you will get \$2.54, otherwise, you loose \$1?
Or, using a '\' before the \$ symbol to make them visible.
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March 25th, 2018, 04:39 AM   #4
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Thanks!
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