Janelle is playing craps and places a $5 bet on the number 8 with a probability of winning at 5/36. However, the probability of losing is 1/6 and happens if a 7 is rolled. Any other number rolled means she doesn't win or lose and the game continues. If an 8 is rolled, she will win $6 (and keep her initial bet) but if a 7 is rolled, she loses all $5. What is the expected value for Janelle

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Janelle is playing craps and places a $5 bet on the number 8 with a probability of winning at 5/36.

However, the probability of losing is 1/6 and happens if a 7 is rolled.

Any other number rolled means she doesn't win or lose and the game continues.

If an 8 is rolled, she will win $6 (and keep her initial bet) but if a 7 is rolled, she loses all $5.

What is the expected value for Janelle on a roll in this game of craps?

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