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# An Integer Is Chosen At Random From The First 200 Positive Integers. The Probability That The Integer Chosen Is Divisible By 6 Or 8 Is:

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## Question

### Solution

Correct option is

1/4

Let E = divisible by 6

F = divisible by 8

Number divisible by 6 are: 6, 12, 18, 24,….198 i.e.. There are 33 numbers in first 200 positive integers that are divisible by 6.

Number divisible by 8 are: 8, 16, 24, 32,….200 i.e.. There are 25 numbers in first 200 positive integers that are divisible by 8.

Number divisible by 6 and 8 both are: 24,….192. These are 8 numbers in first 200 positive integers that are divisible by both 6 and 8.

P(integer is divisible by 6 and 8) = P(E ∪ F) = P (E) + P(F)

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