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Lily has only red and blue balls in a jar. If she removes three balls,

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Lily has only red and blue balls in a jar. If she removes three balls, [#permalink]

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New post 10 Jun 2018, 07:21
1
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

19% (47:53) correct 81% (02:09) wrong based on 26 sessions

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Lily has only red and blue balls in a jar. If she removes three balls, is the probability of getting all red balls greater than the probability of getting at least one blue ball?

(1) The number of red balls is more than three times the number of blue balls.
(2) Less than (1)/(4) th of the balls in the jar are blue.

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Re: Lily has only red and blue balls in a jar. If she removes three balls, [#permalink]

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New post 10 Jun 2018, 08:50
Answer should be E. Eg: Take there are 4 red balls and 1 blue ball. Then P(RRR)= 2/5 and P(atleast 1B) = 3/5. So 2nd expression is smaller.

Then take there are 7 red balls and 1 blue ball. Then P(RRR)= 5/8 and P(atleast 1B) = 3/8. So 1st expression is smaller.

This example will work for both the statements. Therefore, no sufficiency in any. Hence, E.
Re: Lily has only red and blue balls in a jar. If she removes three balls,   [#permalink] 10 Jun 2018, 08:50
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Lily has only red and blue balls in a jar. If she removes three balls,

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