A coin is tossed three times. If X denotes the absolute difference between the number of heads and the number of tails, then P(X=1)=

Options

A. `(1)/(2)`
B. `(2)/(3)`
C. `(1)/(6)`
D. `(3)/(4)`

Answer

D

Explanation

Given,
A coin is tossed three times and X - absolute difference between the number of heads and number of tails.
Now, X=1 when exactly two head or two tail comes
`:.P(X=1)=(3)/(8)+(3)/(8)=(6)/(8)=(3)/(4)`
`{:[(because" probability of exacty two head "=(3)/(8)),("and probability of exactly two tails"=(3)/(8))]:}`