SOLUTION: In the game Over and Under, a pair of dice is rolled and one can bet whether the sum of dots showing on the dice is over 7, under 7, or exactly 7. What are the odds in favor of yo

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Question 257466: In the game Over and Under, a pair of dice is rolled and one can bet whether the sum of dots showing on the dice is over 7, under 7, or exactly 7. What are the odds in favor of you winning when you bet that over 7 wins?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In the game Over and Under, a pair of dice is rolled and one can bet whether the sum of dots showing on the dice is over 7, under 7, or exactly 7. What are the odds in favor of you winning when you bet that over 7 wins?
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Sum over Seven: (2,6)(3,5)(3,6)(4,4)(5,3)(5,4)
(5,5)(5,6)(6,2)(6,3)(6,4)(6,5)(6,6)
P(over 7) = 13/36
P(7 or under) = 23/36
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Odds in favor of winning when you bet "over 7" = [13/36]/[23/36] = 13:23
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Cheers,
Stan H.