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Question: 2018 Fall Final - 13

Author: Michiel Smid
You are given a fair die that has six faces. One face has the letter $a$ on it, two faces have the letter $b$ on them, and three faces have the letter $c$ on them. Assume you roll this die twice, independently of each other. Define the events
  • A = "both rolls result in the same letter",
  • B = "at least one of the rolls results in the letter $a$".
What is $\Pr(A|B)$?
(a)
2/11
(b)
1/7
(c)
1/11
(d)
2/7