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

Step-by-step solution

A coin is tossed 3 times n ( S )=8 Possibilities are : (1 H , 2 ~T ),(2 H , 1 ~T ),(3 H , 0 ~T ),(0 H , 3 ~T ) Thus values of X can be 1 and 3 . Now (1 H , 2 ~T ) can occur in 3 ways. Also (2 H , 1 ~T ) can occur in 3 ways. P ( X =1)= 6 8 = 3 4