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Updated on: 12 May 2014, 03:13
Originally posted by arindamsur on 12 May 2014, 02:50.
Last edited by arindamsur on 12 May 2014, 03:13, edited 2 times in total.
Last edited by arindamsur on 12 May 2014, 03:13, edited 2 times in total.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
60% (01:52) correct
40%
(02:06)
wrong
based on 238
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Time
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Not Attempted Yet
Forty ladies and fifty gentlemen are present at a party. There are 20 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?
A. 1/200
B. 1/100
C. 1/50
D. 1/40
E. 1/20
A. 1/200
B. 1/100
C. 1/50
D. 1/40
E. 1/20
12 May 2014, 03:11
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arindamsur
APPROACH #1:
What is the probability of selecting married woman from 40? Since there are 20 couples, then there are 20 married women, thus the probability of selecting married woman is 20/40 = 1/2.
What is the probability of selecting her husband from 50 men? 1/50.
So, the probability of selecting a couple is 1/2*1/50 = 1/100.
Answer: B.
APPROACH #2:
In how many ways we can select a woman and a man from 40 women and 50 men? In 40*50 = 2,000 ways.
We have a total of 20 couples so, the probability of selecting a couple is 20/2,000 = 1/100.
Answer: B.
Almost the same question: a-certain-junior-class-has-1000-students-and-a-certain-99046.html
Similar questions to practice:
in-a-room-filled-with-7-people-4-people-have-exactly-87550.html
a-dog-breeder-currently-has-9-breeding-dogs-6-of-the-dogs-131992.html
Hope this helps.
General Discussion
12 May 2014, 03:29
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Bunuel
Bunuel , one doubt. When we say , do we mean to find one married male and female , NOT NECESSARILY MARRIED TO EACH OTHER?
