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A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybea
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06 Oct 2021, 09:18
06 Oct 2021, 09:18
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A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
A. 9/100
B. 2/19
C. 1/8
D. 3/20
E. 3/10
A. 9/100
B. 2/19
C. 1/8
D. 3/20
E. 3/10
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybea
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06 Oct 2021, 09:32
06 Oct 2021, 09:32
Carcass wrote:
A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
A. 9/100
B. 2/19
C. 1/8
D. 3/20
E. 3/10
A. 9/100
B. 2/19
C. 1/8
D. 3/20
E. 3/10
P(all 3 beans are blue) = P(1st bean is blue AND 2nd bean is blue AND 3rd bean is blue)
= P(1st bean is blue) x P(2nd bean is blue) x P(3rd bean is blue)
= 10/20 x 9/19 x 8/18
= 2/19
Answer: B
Cheers,
Brent
gmatclubot
Re: A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybea [#permalink]
06 Oct 2021, 09:32
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