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A pot contains 30 marbles, of which 15 are green and 15 are yellow. If

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Bunuel
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A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   12 Apr 2021, 05:15
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A pot contains 30 marbles, of which 15 are green and 15 are yellow. If two marbles are to be picked from this pot at random and without replacement, what is the probability that both marbles will be yellow?

(A) 1/5
(B) 7/29
(C) 7/30
(D) 8/29
(E) 23/30
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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   12 Apr 2021, 05:35
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15C2/30C2 = 7/29

Hence Answer B

Note : if the question mentined with replacement, it'll be different.

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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   12 Apr 2021, 05:36
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Bunuel wrote:
A pot contains 30 marbles, of which 15 are green and 15 are yellow. If two marbles are to be picked from this pot at random and without replacement, what is the probability that both marbles will be yellow?

(A) 1/5
(B) 7/29
(C) 7/30
(D) 8/29
(E) 23/30


Ways of picking 2 yeallow marbles = \(^{15}C_2 = 15*7\)

Ways of picking 2 marbles = \(^{30}C_2 = 15*29\)

Probability = \(^{15}C_2\)/\(^{30}C_2\) \(= \frac{15*7}{15*29} = \frac{7}{29}\)

Answer: Option B

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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   12 Apr 2021, 08:00
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WaynePerry2 wrote:
i was facing issues solving this question Thanks for the answer.


Hi WaynePerry2

Welcome to GMAT CLUB

The tradition of thanking someone for a particular post is by clicking the "KUDOS" button on that post :cool: ;)
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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   12 Apr 2021, 09:04
two marbles chosen from 30 and both being yellow without replacement is P
15/30 * 14/29 ; 7/29
option B

Bunuel wrote:
A pot contains 30 marbles, of which 15 are green and 15 are yellow. If two marbles are to be picked from this pot at random and without replacement, what is the probability that both marbles will be yellow?

(A) 1/5
(B) 7/29
(C) 7/30
(D) 8/29
(E) 23/30
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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   21 Mar 2022, 04:26
what would be the answer if it were with replacement
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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink] New post   25 Mar 2023, 02:20
Hello from the GMAT Club BumpBot!

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Re: A pot contains 30 marbles, of which 15 are green and 15 are yellow. If [#permalink]
25 Mar 2023, 02:20
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