A bag contains five white and four red balls.

A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

Quiz

Answer/Solution

5/8

Steps/Work

Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done 5C1 . 4C1 ways.
The required probability
= (5 * 4)/⁹C₂ = 20/36
= 5/9
Answer:B