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Question: 2019 Winter Midterm - 17

Author: Michiel Smid
This midterm has 17 questions. For each question, four options are given, exactly one of which is correct. Assume that you answer each question, by choosing one of the four options uniformly at random.
Let A be the event
  • A = "you answer at least 16 questions correctly".
What is $\Pr(A)$?
(a)
$\frac{51}{4^{17}}$
(b)
$\frac{49}{4^{17}}$
(c)
$\frac{52}{4^{17}}$
(d)
$\frac{4^{17}}{52}$