When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 26 or bet $20 that the outcome is any of the three possibilities 00,0,or 1. The gambler knows that the expected value of the $20 bet for a single number is-$1.05. For the $

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 26 or bet $20 that the outcome is any of the three possibilities 00,0,or 1. The gambler knows that the expected value of the $20 bet for a single number is-$1.05. For the $20 bet the outcome is 00,0,or1,  there is a probability of 3/38 of making a net profit of $80 and a 35/38 probability of losing $20.

a) Find the expected value for the $20 bet that the outcome is 00,0,or1. 

b) Which bet is better,  a $20 bet on the number 26 or a $20 bet that the outcome is any one of the numbers 00,0,or 1? Why?

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