paradise (aka pair\'o\'dice)
I'm trying to come up with the EV of a game I'm working on. The game involves a player paying me $5 to roll a pair'o'dice once. The payout is as follows:
roll 2; win $50
roll 7; win $5 (money returned to player)
roll 11; win $15
On a roll of "2" for example, I shouldn't calculate -$50, i should calculate -$45 because the user paid me $5 to play in the first place.
The math I have is:
45(1/36) + 0 (6/36) + 10 (2/36) = $1.80
These are my "loses" per roll.
5(27/36) = $3.75
These are my "gains".
$3.75 average gains per roll.
3.75 - 1.08 = $2.67
Net per roll = $2.67
Am I even close?
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