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Practice By Tag: Basic Rules of Probability

Question: 2016 Fall Final - 21
1 . Consider a coin that comes up heads with probability 1/7 and comes up tails with probability 6/7. You flip this coin once. If it comes up heads, you win \$5. If it comes up tails, you win \$2.
What is the expected value $\mathbb{E}(X)$ of $X$?
(a)
7/2
(b)
32/7
(c)
17/7
(d)
7/17