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?
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shankar.ashwin
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SInce all of the number lie between 0 and 1/2. Try to find the range of each
1. 3/20 - 0 = 0.15
2. 1/5 - 3/20 = 0.05
3. 1/4 - 1/5 = 0.05
4. 3/10 - 1/4 = 0.05
5. 1/2 - 3/10 = 0.2.
E has the maximum range and so most likely to have the number among the options
1. 3/20 - 0 = 0.15
2. 1/5 - 3/20 = 0.05
3. 1/4 - 1/5 = 0.05
4. 3/10 - 1/4 = 0.05
5. 1/2 - 3/10 = 0.2.
E has the maximum range and so most likely to have the number among the options
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Converting all the denominators to 20 yields the following numerators: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?
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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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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