You roll a fair six-sided die. If the die shows a prime number then you toss a fair coin that number of times. If the die shows a non-prime number, you do not toss the coin at all. Let the random variable ? count the number of Tails seen. What is ℙ(?=0)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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You roll a fair six-sided die. If the die shows a prime number then you toss a fair coin that number of times. If the die shows a non-prime number, you do not toss the coin at all. Let the random variable ? count the number of Tails seen. What is ℙ(?=0)? 

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