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If a number between 0 and 1 is selected at random, which of the following will the number most likely be between?

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If a number between 0 and 1 is selected at random, which of the following will the number most likely be between?

by BTGmoderatorDC » Sun May 28, 2023 8:27 pm

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If a number between 0 and 1 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


OA E

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Re: If a number between 0 and 1 is selected at random, which of the following will the number most likely be between?

by Brent@GMATPrepNow » Mon May 29, 2023 7:00 am
BTGmoderatorDC wrote: ↑
Sun May 28, 2023 8:27 pm
 If a number between 0 and 1 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


OA E

Source: GMAT Prep
We need to determine the LENGTH OF EACH INTERVAL.

The interval that has the greatest length, will be the most likely interval.

To determine the length of each interval, it may be faster to first convert the fractions to decimals. We get:

A) 0 and 0.15 (interval length = 0.15)
B) 0.15 and 0.2 (interval length = 0.05)
C) 0.2 and 0.25 (interval length = 0.05)
D) 0.25 and 0.3 (interval length = 0.05)
E) 0.3 and 0.5 (interval length = 0.2)

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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