1.

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`

Answer» 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`.


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