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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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

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

Source: GMAT Prep

Source: Beat The GMAT — Problem Solving | Sun May 28, 2023 8:27 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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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