Bunuel wrote:
What is the probability that an integer in the set {1, 2, 3, ..., 100} is divisible by 2 and not divisible by 3 ?
(A) 1/6
(B) 33/100
(C) 17/50
(D) 1/2
(E) 18/25
I'd typically use the same approach that
shuvodip04 used.
However, if you're not 100% sure about that approach, it doesn't take long to
list and count all of integers (from 1 to 100) that are divisible by 2 and not divisible by 3
They are: 2, 4, 8, 10, 14, 16, 20, 22, 26, 28, 32, 34, 38, 40, 44, 46, 50, 52, 56, 58, 62, 64, 68, 70, 74, 76, 80, 82, 86, 88, 92, 94, 98, 100
There are 34 such integers
And there are 100 integers to choose from.
So, P(selected number is divisible by 2 and not divisible by 3) = 34/100 = 17/50
Answer: C
Cheers,
Brent
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