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26 June, 07:45

Thirty cards are numbered from 1 to 30, inclusive. If one card is drawn at random, what is the probability that the number on the card will be divisible by either 3 or 5?

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  1. 26 June, 08:39
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    Find the numbers between 1 and 30 that are divisible by 3 or 5:

    Divisible by 3:

    3, 6, 9, 12, 15, 18, 21, 24, 27, 30

    Divisible by 5:

    5, 10, 15, 20, 25, 30

    There are 10 numbers divisible by 3 and 6 numbers divisible by 5 for a total of 16 numbers.

    The probability is 16/30, which reduces to 8/15 are divisible by 3 or 5.
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