You have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57 to 133 painted on it.  What is the probability that if you randomly select five of the balls from the bag all of the numbers on the selected balls will be divisible by 3 or by 7? Your final answer must be a decimal number rounded to three decimal places.  For example, if you calculate the answer 0.166666, your answer would be 0.167.

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 have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57 to 133 painted on it.  What is the probability that if you randomly select five of the balls from the bag all of the numbers on the selected balls will be divisible by 3 or by 7?

Your final answer must be a decimal number rounded to three decimal places.  For example, if you calculate the answer 0.166666, your answer would be 0.167.

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