You play a dice game rolling 2 dice and summing the roll. It costs $2.00 to roll the dice. If you roll an odd number, you get to roll again. If you roll a 6, 8, or 10, you lose $2.00. If you roll a 2,4, or 12, you win $5.00. Let X = the payout.

Number of possible outcomes:

P(odd) =

P(6, 8, or 10) =

P(2, 4, or 12) =

X=payout P(x) X * P(x) (X-mean)^2 * P(x)

Push $0.00 _______ __________ _____________

Win$5.00. _______ __________ _____________

Lose$2.00. _______. __________. _____________

Sums. _______ ___________. ______________

What is the average long term winnings?

What is the long term standard deviation of winnings?