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siddharthkapoor
GMAT Club Reviews PM Intern
Joined: 10 Apr 2018
Last visit: 30 Apr 2025
Posts: 529
Given Kudos: 522
Location: India
Schools: ISB'22 (D)
GMAT 1: 680 Q48 V34
GPA: 3.3
Products:
12 Oct 2019, 06:22
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
71% (01:51) correct
29%
(02:19)
wrong
based on 529
sessions
History
Date
Time
Result
Not Attempted Yet
A dance group consists of 6 men and 7 women. There are 3 married couples in the group. If 2 people have to be selected – 1 man and 1 woman, what is the probability that one of the couples will be selected?
A. 1/14
B.1/7
C. 1/6
D. 1/3
E. 1/2
A. 1/14
B.1/7
C. 1/6
D. 1/3
E. 1/2
12 Oct 2019, 11:16
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3C1/ 7C1×6C1=3/42=1/14
Option A
Posted from my mobile device
Option A
Posted from my mobile device
12 Oct 2019, 19:44
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iamsiddharthkapoor
A dance group consists of 6 men and 7 women. There are 3 married couples in the group. If 2 people have to be selected – 1 man and 1 woman, what is the probability that one of the couples will be selected?
A. 1/14
B.1/7
C. 1/6
D. 1/3
E. 1/2
A. 1/14
B.1/7
C. 1/6
D. 1/3
E. 1/2
Probability that one of the couple will be selected = \(\frac{Selecting Husband out of the married couple * Selecting Wife of the selected Husband}{Selecting a Man out of total Men * Selecting a Woman out of total Women}\)
=>\(\frac{C^{3}_{1} * 1}{C^{6}_{1} * C^{7}_{1}}\)
=> \(\frac{3 * 1}{6 * 7}\)
=> \(\frac{1}{14}\)
Hence A
