Cayley 2023 Part A - Question 10, CEMC UWaterloo
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Difficulty: 4
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(Cayley 2023, Part A, Question 10, CEMC - UWaterloo)
Each of five doors is randomly either open or closed. What is the probability that exactly two of the five doors are open?
$(A)$ $\frac{5}{16}$
$(B)$ $\frac{13}{32}$
$(C)$ $\frac{9}{25}$
$(D)$ $\frac{1}{2}$
$(E)$ $\frac{7}{16}$
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