Probability Question 373

Question: In tossing 10 coins, the probability of getting exactly 5 heads is

[MP PET 1996]

Options:

A) $ \frac{9}{128} $

B) $ \frac{63}{256} $

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

D) $ \frac{193}{256} $

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Answer:

Correct Answer: B

Solution:

Required probability $ ={}^{10}C_5\times {{( \frac{1}{2} )}^{5}}.{{( \frac{1}{2} )}^{5}}=\frac{63}{256}. $