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?

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