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# What is the probability that a student randomly selected from a class

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3305
Location: India
GPA: 3.12
What is the probability that a student randomly selected from a class  [#permalink]

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05 Oct 2018, 21:44
00:00

Difficulty:

25% (medium)

Question Stats:

73% (00:52) correct 27% (00:42) wrong based on 76 sessions

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What is the probability that a student randomly selected from a class of 42 is a boy with black eyes?

1. Half the students in the class are boys
2. One-third of the students in the class have black eyes.

Source: Experts Global

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Joined: 07 Dec 2017
Posts: 1155
Re: What is the probability that a student randomly selected from a class  [#permalink]

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05 Oct 2018, 22:03
pushpitkc wrote:
What is the probability that a student randomly selected from a class of 42 is a boy with black eyes?

1. Half the students in the class are boys
2. One-third of the students in the class have black eyes.

Source: Experts Global

To answer the question we need to know the number of students who are both boys and have black eyes.
We'll look for statements that give us this information, a Logical approach.

(1) No information on black eyes.
Insufficient.

(2) No information on boys.
Insufficient.

Combined:
No information on the overlap between 'boys' and 'black eyes' (there could be maximal overlap = 1/3 * 42 or there could be no overlap at all)
Insufficient.

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Re: What is the probability that a student randomly selected from a class   [#permalink] 05 Oct 2018, 22:03
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