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A fair coin is tossed 100 times. The pro...

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is

A

`1//2`

B

`1//4`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Total number of cases are `2^(100)`. The number of favourable ways
`.^(100)C_(1)+ .^(100)C_(3)+…+ .^(100)C_(99)=2^(100-1)=2^(99)`
Hence, the required probability `=(2^(99))/(2^(100))=(1)/(2)`
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