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An unbiased coin is tossed 6 times. The ...

An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is a.`5//16` b. `5//32` c. `5//8` d. `5//64`

A

`5//16`

B

`2//32`

C

`5//8`

D

`5//64`

Text Solution

Verified by Experts

The correct Answer is:
B
Probability of getting 2 heads in the first 5 trials is
`""^(5)C_(2)((1)/(2))^(2)((1)/(2))^(3)=10/32=5/16`
Therefore, the probability that third head appears on the sixth trial is `5//16xx1//2=5//32.`
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