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.

Question

Mathematics

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26 April, 02:35

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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Answers (1)

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Crystal Wilson · Answer 1

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