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28 Jan 2021, 01:42
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
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Question Stats:
76% (01:41) correct
24%
(01:53)
wrong
based on 160
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A student has to select 3 subjects out of 6 subjects Mathematics, Biology, Chemistry, Physics, English and Computer Science. If he has chosen Mathematics, What is the probability of Biology being also chosen?
A. 2/3
B. 3/5
C. 2/5
D. 1/3
E. 1/6
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
A. 2/3
B. 3/5
C. 2/5
D. 1/3
E. 1/6
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
28 Jan 2021, 06:58
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Bunuel
Mathematics has been chosen so total outcomes = ways of choosing remaining 2 out of 5 subjects = 5C2 = 10
Favourable outcome = 4C1 = 4 (Maths and Biology selected in group)
Probability \(= \frac{4}{10} = \frac{2}{5}\)
ANswer: Option C
08 Feb 2021, 12:20
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Bunuel
Solution:
Since Math is already chosen, then the total number of ways one can select 2 more subjects from the 5 remaining subjects is 5C2 = 10. Furthermore, of these 10 ways, only 4 contain Biology (i.e., Biology-Chemistry, Biology-Physics, Biology-English, Biology-Computer Science). Therefore, the probability that Biology is also chosen (in addition to Math) is 4/10 = 2/5.
Answer: C
