Statistics And Probability Question 321

Question: If two coins are tossed 5 times, then the probability of getting 5 heads and 5 tails is

[AMU 2002]

Options:

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

B) $ \frac{1}{1024} $

C) $ \frac{2}{205} $

D) $ \frac{9}{64} $

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Answer:

Correct Answer: A

Solution:

  •         Probability for a head  $ =\frac{1}{2}i.e.,p=\frac{1}{2} $              
    

$ \therefore $ $ q=\frac{1}{2} $ in a toss. Required probability $ {{=}^{10}}C_5{{( \frac{1}{2} )}^{5}}{{( \frac{1}{2} )}^{5}}=\frac{63}{256} $ .