# 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?

## 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

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