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Practice By Tag: Conditional Probability

Question: 2017 Winter Final - 12
1 . Let $X = \{1,2,3,\dots,10\}$. We choose, uniformly at random, a subset $Y$ of $X$, where $Y$ has size 5. Define the events
  • A = "1 is an element of $Y$",
  • B = "7 is an element of $Y$".
What is $\Pr(A|B)$?
(a)
5/9
(b)
5/8
(c)
4/9
(d)
4/8