A natural number is chosen at random from amongst first 500. What is the probability that the number so chosen is divisible by 3 or 5?

Explanation

Let S be the sample space. Then, clearly n(S) = `500`


Let E1 = event of getting a number divisible by `3`


and E2 = event of getting a number divisible by `5`. Then,


`(E1∩E2)` = event of getting a number divisible by both `3` and `5`


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