Probability Question 133
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} $
Show Answer
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} $ .