Question

Four mangoes and five apples are in a box. If two fruits are chosen at random, then find the probability that one is a mango and other is an apple ______.

Options

• `2/3`

• `5/9`

• `1/36`

• `1/18`

Answer 1

Four mangoes and five apples are in a box. If two fruits are chosen at random, then find the probability that one is a mango and other is an apple `5/9`.

Explanation:

Two fruits out of 9 can be chosen in ⁹C₂ = 36 ways.

One mango and one apple can be chosen in ⁴C₁ × ⁵C₁ = 20 ways

 ∴ Probability = `20/36 = 5/9`