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mario62 [17]
1 year ago
7

In a game, three fair number cubes with faces numbered 1 through 6 are rolled. If the sum of the cubes is 16 or greater, a playe

r wins 432 tokens; otherwise, the player wins nothing. Based on the given information, which number is equivalent to the fair number of tokens to pay for playing this game? A.8 B.12 C.14D.20
Mathematics
1 answer:
alukav5142 [94]1 year ago
6 0

Solution

For this case the total outcomes are 6*6*6 = 216

The expected value is given by:

E(x) = p* X1 + (1-p)*X2

Where p = probability of success (sum of cubes 16 or greater)

and 1-p = probability of failure

X1 =

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