Question

An urn contains 5 white and 3 red balls. Find the probability distribution of the number of red balls, with replacements, in three draws.

Answer 1

Let R be the event of drawing a red ball. Let X denote the discrete random variable ‘no. of red balls’ in a draw of three balls. Then

X = 0, 1, 2, 3. Here, P(R) = 3/8 and P(R) = 5/8.

Hence, the required probability distribution is