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# A joint debating session was attended by 50 students from a certain ju

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Math Expert
Joined: 02 Sep 2009
Posts: 60480
A joint debating session was attended by 50 students from a certain ju  [#permalink]

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13 Nov 2019, 02:40
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:16) correct 50% (02:08) wrong based on 27 sessions

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A joint debating session was attended by 50 students from a certain junior class and a certain senior class. Is the probability that a speaker selected at random from this group of students will be female junior greater than 2/5?

(1) 30 students from the junior class attended the session.

(2) 35 male students attended the session.

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A joint debating session was attended by 50 students from a certain ju  [#permalink]

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13 Nov 2019, 09:22
Bunuel wrote:
A joint debating session was attended by 50 students from a certain junior class and a certain senior class. Is the probability that a speaker selected at random from this group of students will be female junior greater than 2/5?

(1) 30 students from the junior class attended the session.

(2) 35 male students attended the session.

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Analyzing the question:
Are there more than 20 students that are female and junior?

Statement 1:
There are 30 junior students and 20 senior students. We don't know the male vs female breakdown of the 30 junior students so this is insufficient.

Statement 2:
There are only 15 female students, so there certainly cannot be more than 20 female junior students. Sufficient.

Ans: B
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A joint debating session was attended by 50 students from a certain ju   [#permalink] 13 Nov 2019, 09:22
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