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29 May, 15:21

Tiles numbered 1 through 25 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. The first tile is randomly drawn from the first box. The second tile is randomly drawn from the second box. Find each probability.

The first tile is a multiple of 3 or prime and the second tile is a multiple of 5.

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  1. 29 May, 15:39
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    The first tile is a multiple of 3 or prime

    there are 8 multiples of 3 from 1-25

    there are 9 primes from 1-25 (2, 3, 5, 7, 11, 13, 17, 19, 23)

    8+9=17, but subtract 1 because 3 was counted twice - - > P=16/25=0.64

    The 2nd tile is a multiple of 5

    There are 4 multiples of 5 from 11-30 (15, 20, 25, 30) - - > P=4/20=0.2
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