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E
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Difficulty:
15%
(low)
Question Stats:
79% (01:20) correct
21%
(01:10)
wrong
based on 202
sessions
History
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A joint debating session is conducted between a certain junior class and certain senior class. What is the probability that the speaker selected at random from this group of students will be female junior?
(1) One fifth of the students are from junior class
(2) One fourth of the students are female students
(1) One fifth of the students are from junior class
(2) One fourth of the students are female students
15 Oct 2019, 21:59
Kudos
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We are given that a joint debating session is conducted between a junior class and a senior class. We are to determine the probability that a speaker selected at random will be a female from the junior class.
Statement 1: 1/5 of the total students are from the Junior class.
This implies 4/5 of the total students are from the Senior class.
Statement 1 is not sufficient. This is because we need an information on the total number of females who are juniors. An information that merely states the proportion of the total students who are juniors is not enough to compute a unique probability for selecting a female from the junior class as the speaker.
Statement 2: 1/4 of the total students are female. Implying this is the probability of male students=3/4.
This is still not sufficient to determine the probability of selecting a female from the Junior class. An additional information about the probability selecting a student from the junior class is needed in order to compute the probability of selecting a female from the junior class as the speaker.
1+2
Probability of Selecting a junior = 1/5
Probability of Selecting a Female student =1/4
P(Jf) = 1/5 * 1/4 = 1/20.
Hence combining both statements is sufficient.
The answer is C in my view
Posted from my mobile device
Statement 1: 1/5 of the total students are from the Junior class.
This implies 4/5 of the total students are from the Senior class.
Statement 1 is not sufficient. This is because we need an information on the total number of females who are juniors. An information that merely states the proportion of the total students who are juniors is not enough to compute a unique probability for selecting a female from the junior class as the speaker.
Statement 2: 1/4 of the total students are female. Implying this is the probability of male students=3/4.
This is still not sufficient to determine the probability of selecting a female from the Junior class. An additional information about the probability selecting a student from the junior class is needed in order to compute the probability of selecting a female from the junior class as the speaker.
1+2
Probability of Selecting a junior = 1/5
Probability of Selecting a Female student =1/4
P(Jf) = 1/5 * 1/4 = 1/20.
Hence combining both statements is sufficient.
The answer is C in my view
Posted from my mobile device
15 Oct 2019, 22:31
Kudos
Bookmarks
A joint debating session is conducted between a certain junior class and certain senior class. What is the probability that the speaker selected at random from this group of students will be female junior?
Finding Female junior?
(1) One fifth of the students are from junior class - alone is not sufficient, we do not know anything about the proportion of female.
(2) One fourth of the students are female students - statement 2 alone is insufficient, we do not know anything about proportion of junior.
(1) + (2) together, insufficient - because some female and junior might be overlap, which we do not know any overlap/mutual portion.
Therefore E is the correct answer choice.
Finding Female junior?
(1) One fifth of the students are from junior class - alone is not sufficient, we do not know anything about the proportion of female.
(2) One fourth of the students are female students - statement 2 alone is insufficient, we do not know anything about proportion of junior.
(1) + (2) together, insufficient - because some female and junior might be overlap, which we do not know any overlap/mutual portion.
Therefore E is the correct answer choice.
