Find the probability distribution of the number of doublets in three throws of a pair of dice and hence find its mean.
Throwing doublet: {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}
Total outcomes = 6×6 = 36
Let p = probability of success
So, q = 1 - p
Given, n = 3
The required binomial distribution is given by,
Let, X, be the random variable getting doublet, so,