You roll a pair of dice.If you get a sum greater than 10 you win $50.If you get a double you win $20.If you get a double and a sum greater than 10 you win a $70.Otherwise you win nothing.Find the standard deviation of the amount you win at this game.
A)$14.08
B)$274.31
C)$25.21
D)$14.91
E)$16.56

Question

Quizplus · Accepted Answer

The possible outcomes and their probabilities are calculated, then the expected value and variance are determined. The standard deviation is the square root of the variance, which is approximately $16.56.

You Roll a Pair of Dice