Suppose three coins are tossed simultaneously. If X denotes the number of heads, then probability distribution of X is

Step-by-step solution

Let X denotes the number of heads. Thus, the possible values of X are 0,1,2 and 3 . aligned P ( X =0) & = P ( getting no head ) & = P ( TTT )= 1 8 aligned aligned P ( X =1) & = P ( getting one head ) & = P ( HTT, THT , TTH )= 3 8 P ( X =2) & = P ( getting two heads ) & = P ( HHT , THH, HTH )= 3 8 P ( X =3) & = P ( getting three heads ) & = P ( HHH )= 1 8 aligned Option (B) is the correct answer.