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Fran randomly chooses a positive integers n, 1 <= n <= 100.  Find the probability that n/162 is reducible?

 Jun 14, 2020
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 Jun 14, 2020
edited by thelizzybeth  Jun 14, 2020
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The following 33 numbers will NOT reduce 162. They are 23 prime numbers, 6 multiples of 5 and 3 multiple of 7 and 1 itself.
1 - 23 prime numbers from 5 and up to 97.
2 - 6 multiples of 5 [25, 35, 55, 65, 85, 95].
3 - 3 multiples of 7 [49, 77, 91]
4 - 1 will NOT reduce 162
That leaves:100 - 33 = 67 numbers that will reduce 162.
Therefore, the probability is: 67 / 100 = 2 / 3

 Jun 14, 2020

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