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

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

A

9128\frac { 9 } { 128 }

B

63256\frac { 63 } { 256 }

C

12\frac { 1 } { 2 }

D

193256\frac { 193 } { 256 }

Answer

63256\frac { 63 } { 256 }

Explanation

Solution

Required probability

=10C5×(12)5⋅(12)5=63256= { } ^ { 10 } C _ { 5 } \times \left( \frac { 1 } { 2 } \right) ^ { 5 } \cdot \left( \frac { 1 } { 2 } \right) ^ { 5 } = \frac { 63 } { 256 }