Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always lands on either 2, 4, or 6, with equal probability, while the other trick die always lands on 1, 3, or 5, with equal probability. 10. You draw two dice at random and roll them. What is the probability that you did not draw the fair die, given that the sum of the two rolls is 7.

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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Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always lands on
either 2, 4, or 6, with equal probability, while the other trick die always lands on 1, 3, or 5, with equal
probability.
10. You draw two dice at random and roll them. What is the probability that you did not draw the fair die,
given that the sum of the two rolls is 7.
Transcribed Image Text:Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always lands on either 2, 4, or 6, with equal probability, while the other trick die always lands on 1, 3, or 5, with equal probability. 10. You draw two dice at random and roll them. What is the probability that you did not draw the fair die, given that the sum of the two rolls is 7.
Expert Solution
Step 1: Given information

Given that,
The three six sided dice are in one urn. 
On of the trick dice always lands on either 2, 4 or 6 with equal probability.
The trick die always lands on 1, 3 or 5 with equal probability. 
The objective is to find the probability that not draw the fair die, given that the sum of the two rolls is 7. 

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