Find the expected value of the number of points you get.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A) You have a ten-sided die with numbers 0 to 9. If you roll a prime number, you get 1 point; if you roll a composite number, you lose $1$ point. Find the expected value of the number of points you get. (Hint: 0 and 1 are neither prime nor composite)
    
B) You roll a four-sided die with numbers 1 to 4. If it is an even number, you lose 5 points and the round ends. If it is an odd number, you roll the die again. If it is even, you gain 8 points and the round ends. If it is odd you gain 6 points and the round ends. Find the expected value of the number of points you get when you play this game.

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