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Into empty Jar X, Jen places two black marbles and three white marbles
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09 Jun 2021, 00:15
09 Jun 2021, 00:15
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Into empty Jar X, Jen places two black marbles and three white marbles.
Into empty Jar Y, she places five black marbles and four white marbles.
She then draws one marble at random from each jar.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Into empty Jar Y, she places five black marbles and four white marbles.
She then draws one marble at random from each jar.
Quantity A |
Quantity B |
The probability that both marbles drawn are black |
The probability that both marbles drawn are white |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Into empty Jar X, Jen places two black marbles and three white marbles
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09 Jun 2021, 05:02
09 Jun 2021, 05:02
Carcass wrote:
Into empty Jar X, Jen places two black marbles and three white marbles.
Into empty Jar Y, she places five black marbles and four white marbles.
She then draws one marble at random from each jar.
Into empty Jar Y, she places five black marbles and four white marbles.
She then draws one marble at random from each jar.
Quantity A |
Quantity B |
The probability that both marbles drawn are black |
The probability that both marbles drawn are white |
QUANTITY A
P(both marbles are black) = P(marble from Jar X is black AND marble from Jar Y is black)
= P(marble from Jar X is black) x P(marble from Jar Y is black)
= 2/5 x 5/9
= 2/9
QUANTITY B
P(both marbles are white) = P(marble from Jar X is white AND marble from Jar Y is white)
= P(marble from Jar X is white) x P(marble from Jar Y is white)
= 3/5 x 4/9
= 12/45
= 4/15
Since 4/15 > 2/9, the correct answer is B
gmatclubot
Into empty Jar X, Jen places two black marbles and three white marbles [#permalink]
09 Jun 2021, 05:02
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