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

Options

A. `5//16`
B. `2//32`
C. `5//8`
D. `5//64`

Answer

B

Explanation

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.`