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# In a party there were 80 males and 45 females

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Intern
Joined: 01 Dec 2018
Posts: 1
In a party there were 80 males and 45 females  [#permalink]

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01 Dec 2018, 00:36
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:20) correct 43% (01:30) wrong based on 21 sessions

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In a party there were 80 males and 45 females. One pair of a male and a female was selected at random for dance, what is the probability that a pair selected is a married couple if there were total 30 married couples in the party?

a) 1/30
b) 1/3600
c) 1/1200
d) 1/120
e) none of these
Manager
Joined: 15 Feb 2018
Posts: 106
Re: In a party there were 80 males and 45 females  [#permalink]

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01 Dec 2018, 00:48
This question doesn't work now on account of gay marriage. It requires 30/45 of the females to be married to 30/80 of the males.

2/3·1/80=1/120
RC Moderator
Joined: 24 Aug 2016
Posts: 575
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: In a party there were 80 males and 45 females  [#permalink]

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01 Dec 2018, 10:12
As there are 30 couples , the no of ways we can select 1 pair of married couple : 30C1= 30
Now the he no of ways we can select 1 man from 80=80C1= 80
& the he no of ways we can select 1 woman from 45=45C1= 45
Hence , the probability = 30/(80*45)= 1/120............... Ans D.
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: In a party there were 80 males and 45 females &nbs [#permalink] 01 Dec 2018, 10:12
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