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Fran randomly chooses a positive integers n, 1 <= n <= 100. Find the probability that $n/18$ is reducible.

 Jan 7, 2022
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There are 100 numbers, that is the n(S)   the number in the sample space.

Prime actors of 18 are 2,3 .  The product of prime factors is 6

 

there are  50 factors of 2, all of those are reducible

There are  33 factors of 3 , all are reducible

There are  16 factors of 6, these have been counted twice

 

so number of desirable events is    50+33-16 = 67  

 

Prob = 67/100

 Jan 8, 2022

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