There are 11 identical bags. In cach bag, there are 11 balls, numbered from I to 11 inclusive. We randomly pick a ball from cach bag. Determine the probability that the product of the 11 numbers on the 11 balls is a multiple of 3. Hint: First find the probability of the product that is not a multiple of 3.

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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1la)
There are 11 identical bags. In each bag, there are 11 balls, numbered from 1 to 11 inclusive. We randomly pick
a ball from each bag. Determine the probability that the product of the 11 numbers on the 11 balls is a multiple
of 3. Hint: First find the probability of the product that is not a multiple of 3.
Transcribed Image Text:1la) There are 11 identical bags. In each bag, there are 11 balls, numbered from 1 to 11 inclusive. We randomly pick a ball from each bag. Determine the probability that the product of the 11 numbers on the 11 balls is a multiple of 3. Hint: First find the probability of the product that is not a multiple of 3.
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