A bag contains 2 white and 1 red balls. One ball is drawn at random and then put back in the box after noting its colour. The process is repeated again. If X denotes the number of red balls recorded in the two draws, describe X.

Explanation

Solution:

let possible outcomes `S={underset(1)(W),underset(2)(W)},{underset(2)(W),underset(1)(W)},{underset(2)(W),underset(2)(W)},{underset(1)(W),underset(1)(W)},{underset(1)(W),R},{underset(2)(W),R},{R,underset(1)(W)},{R,underset(2)(W)},{R,R}`
let X=R(R=red balls),so,`X={{underset(1)(W),underset(2)(W)},{underset(2)(W),underset(1)(W)},{underset(2)(W),underset(2)(W)},{underset(1)(W),underset(1)(W)}}=0`;
`X={{underset(1)(W),R},{underset(2)(W),R},{R,underset(1)(W)},{R,underset(2)(W)}}=1`;
`X={R,R}=2`
So,`X=0,1,2`