Amit_BTG wrote:If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
(A) 0 and 3/20
(B) 3/20 and 1/5
(C) 1/5 and 1/4
(D) 1/4 and 3/10
(E) 3/10 and 1/2
I know the answer is E, but can someone explain why?
Converting all the denominators to 20 yields the following numerators:
0 and 3
3 and 4
4 and 5
5 and 6
6 and 10
The greatest range is 6 and 10.
Since all of the other ranges are smaller, the probability of picking a number between 6 and 10 is greater than the probability of picking a number within any of the other ranges.
The correct answer is
E.
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