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Updated on: 18 Jul 2018, 22:38
Originally posted by shridhar786 on 18 Jul 2018, 22:17.
Last edited by chetan2u on 18 Jul 2018, 22:38, edited 1 time in total.
Last edited by chetan2u on 18 Jul 2018, 22:38, edited 1 time in total.
added Topic name
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
23% (01:58) correct
77%
(01:43)
wrong
based on 77
sessions
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Not Attempted Yet
An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of
the experiment. If A consists of 4 outcomes, the number of outcomes that B must have
so that A and B are independent, is
a) 2,4 or 8
b) 3,6 or 9
c) 4 or 8
d) 5 or 10
e) none of these
the experiment. If A consists of 4 outcomes, the number of outcomes that B must have
so that A and B are independent, is
a) 2,4 or 8
b) 3,6 or 9
c) 4 or 8
d) 5 or 10
e) none of these
vaibhav1221
Joined: 19 Nov 2017
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Schools: IIMA '25 (A) Columbia CBS'26 (D) Fuqua '26 (D) ISB '25 (WL) Darden '26 (D) Kenan-Flagler '26 (WL)
GMAT 1: 710 Q49 V38
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WE:Account Management (Advertising and PR)
Schools: IIMA '25 (A) Columbia CBS'26 (D) Fuqua '26 (D) ISB '25 (WL) Darden '26 (D) Kenan-Flagler '26 (WL)
GMAT 1: 710 Q49 V38
Posts: 292
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18 Jul 2018, 22:38
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Anything with 10 outcomes because the events are independent.
18 Jul 2018, 23:16
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shridhar786
Not likely to be tested in GMAT..
But the solution should be...
If two events A and B are independent P(A^B)=P(A).P(B)
here P(A) = 4/10 and let P(B) = x/10
so P(A^B) = \(\frac{4}{10} * \frac{x}{10} = \frac{4x}{100}=\frac{2x}{50}=\frac{2x}{5}/10\)
in (2x/5)/10, 10 are total outcomes and 2x/5 is favorable outcomes...
but favourable outcomes should be an integer so 2x/5 is an integer and x has to be between 0 and 10
so x can be 0, 5 or 10.....
but B is non-empty set, so x cannot be 0..
possible answer 5 and 10
D
