We have two dice. One is fair and the other is biased. The biased die is weighted to land 6 on  every  1 of  36 rolls. There is an equal probability for all of the other five faces on the biased die. Without knowing which one we are choosing, we pick one of the dice, roll it, and get a 6 . What is the probability that we roll the fair die?

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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We have two dice. One is fair and the other is biased. The biased die is weighted to land 6 on  every  1 of  36 rolls. There is an equal probability for all of the other five faces on the biased die. Without knowing which one we are choosing, we pick one of the dice, roll it, and get a 6 . What is the probability that we roll the fair die?

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