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15 Feb 2017, 01:47
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
92% (01:20) correct
8%
(02:41)
wrong
based on 229
sessions
History
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100 students appeared for two examinations. 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has failed in both the examinations?
(A) 1/5
(B) 1/7
(C) 5/7
(D) 5/6
(E) 6/7
(A) 1/5
(B) 1/7
(C) 5/7
(D) 5/6
(E) 6/7
15 Feb 2017, 02:07
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Lets calculate the number of students failed in each of the two exams.
A- 40 , B - 50. Now, the next thing to figure out is if these two events are dependent or independent events. These two events are independent events as the outcome of one does not influence the outcome of other. In this case the following formula hold true. p(A and B) = p(A) * p(B).
p(A) = 2/5 * 1/2 = 1/5.
A- 40 , B - 50. Now, the next thing to figure out is if these two events are dependent or independent events. These two events are independent events as the outcome of one does not influence the outcome of other. In this case the following formula hold true. p(A and B) = p(A) * p(B).
p(A) = 2/5 * 1/2 = 1/5.
16 Feb 2017, 13:51
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Hi saswata4s,
What is the source of this question? I ask because while it's meant to be an Overlapping Sets question, the answer choices are written in such a way that you can avoid almost of the "implied" math and still answer the question. Since there are exactly 100 students, the fraction that failed both Exams MUST be something "out of 100." Four of the five answer choices CANNOT be reduced from X/100, so they cannot be the correct answer. Only one of them can....
Final Answer:
GMAT assassins aren't born, they're made,
Rich
What is the source of this question? I ask because while it's meant to be an Overlapping Sets question, the answer choices are written in such a way that you can avoid almost of the "implied" math and still answer the question. Since there are exactly 100 students, the fraction that failed both Exams MUST be something "out of 100." Four of the five answer choices CANNOT be reduced from X/100, so they cannot be the correct answer. Only one of them can....
Final Answer:
GMAT assassins aren't born, they're made,
Rich
