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Mr. Yutaro’s class contains 5 boys and 11 girls. If two students are c
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13 Oct 2021, 07:10
13 Oct 2021, 07:10
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Question Stats:
90% (01:07) correct
10% (01:08) wrong based on 10 sessions
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Mr. Yutaro’s class contains 5 boys and 11 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
A. 9/48
B. 9/20
C. 11/24
D. 27/48
E. 13/16
A. 9/48
B. 9/20
C. 11/24
D. 27/48
E. 13/16
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Mr. Yutaro’s class contains 5 boys and 11 girls. If two students are c
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13 Oct 2021, 08:42
13 Oct 2021, 08:42
Carcass wrote:
Mr. Yutaro’s class contains 5 boys and 11 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
A. 9/48
B. 9/20
C. 11/24
D. 27/48
E. 13/16
A. 9/48
B. 9/20
C. 11/24
D. 27/48
E. 13/16
P(1 boy and 1 girl chosen) = P(1st selection is boy AND 2nd selection is girl OR 1st selection is girl AND 2nd selection is boy)
= P(1st selection is boy AND 2nd selection is girl) + P(1st selection is girl AND 2nd selection is boy)
= P(1st selection is boy) x P(2nd selection is girl) + P(1st selection is girl) x P(2nd selection is boy)
= 5/16 x 11/15 + 11/16 x 5/15
= 55/240 + 55/240
= 110/240
= 11/24
= C
Cheers,
Brent
gmatclubot
Re: Mr. Yutaro’s class contains 5 boys and 11 girls. If two students are c [#permalink]
13 Oct 2021, 08:42
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