A basket contains 10 fruits in which three are rotten. If two fruits are selected from the basket, what is the probability that both the fruits are not rotten?
(A) `7/15`
(B) `8/15`
(C) `1/15`
(D) `10/15`

Explanation

Initially, there are 10 fruits in basket and 3 of them are rotten.

`:.`Probability of selecting first fruit that is not rotten ` = 7/10`

Now, there are 9 fruits remaining in the basket and three of them are rotten.

`:.` Probability of selecting another fruit that is not rotten `= 6/9 `

`:.` Probability of selecting both fruits that are not rotten ` = 7/10**6/9 = 7/15`.