# Probability Question : Expected Value

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Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing. If it shows a prime number, Tom loses points equal to three times the number of dots showing. What is the expected value of the game?

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#### Solution Preview

because, a die has 6 faces: 1,2,3,4,5,6

prime numbers: 2,3,5

non-prime numbers: 1,4,6

probability of getting a prime number q = 3/6 = ...

#### Solution Summary

Expected value is calculated based on probabilities. The probability of non-prime numbers are given.

$2.49