South African cricket captain lost toss of a coin 13 times out of 14. The chance of this happening was a. `7//2^(13)` b. `1//2^(13)` c. `13//2^(14)` d. none

Options

A. `7//2^(13)`
B. `1//2^(13)`
C. `13//2^(14)`
D. `13//2^(13)`

Answer

A

Explanation

L and W can be filled at 14 places in `2^(14)` ways.
`therefore n(S) = 2^(14)`
Now 13 L's and 1 W can be arranged at 14 places in 14 ways Hence, n(A) = 14.
`therefore p=(14)/(2^(14)) = (7)/(7^(13))`