1.

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

Answer» Correct Answer - D
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))]:}`


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