Statistics And Probability Question 493

Question: A dice is thrown 5 times, then the probability that an even number will come up exactly 3 times is

Options:

A) $ \frac{5}{16} $

B) $ \frac{1}{2} $

C) $ \frac{3}{16} $

D) $ \frac{3}{2} $

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Answer:

Correct Answer: A

Solution:

  •              By Binomial theorem,  $ P={}^{5}C_3\times {{( \frac{1}{2} )}^{3}}{{( \frac{1}{2} )}^{2}}\Rightarrow P=\frac{5}{16}. $