Question

Three bags contain a number of red and white balls as follows: Bag 1: 3 red balls, Bag 2 : 2 red balls and 1 white ball Bag 3: 3 white balls. The probability that bag i will be chosen and a ball is selected from it is i|6, i = 1, 2, 3. What is the probability that (i) a red ball will be selected? (ii) a white ball is selected? Select the correct answer from above options

Answer 1

Given: Bag 1 : 3 red balls, Bag 2 : 2 red balls and 1 white ball Bag 3 : 3 white balls Now, let E1, E2 and E3 be the events of choosing Bag 1, Bag 2 and Bag 3 respectively and a ball is drawn from it. And, we have P(E1) = 1/6, P(E2) = 2/6 and P(E3) = 3/6