Company X has 800 employees and Company Y has 600 employees.

BTGModeratorVI wrote: ↑

Sun Feb 23, 2020 6:57 am

Company X has 800 employees and Company Y has 600 employees. Among these employees, there are 50 married couples, each consisting of an employee from Company X and an employee from Company Y. If 1 employee is to be selected at random from each company, what is the probability that the 2 employees selected will be a married couple?

A) 1/480,000
B) 1/9,600
C) 7/2,400
D) 1/192
E) 7/48

Source: GMAT Hacks
Answer: B

P(select a married couple) = P(person selected from Company X is one of the 50 with spouse at Company Y AND person selected from Company Y is spouse of person selected from Company X)
= P(person selected from Company X is one of the 50 with spouse at Company Y) x P(person selected from Company Y is spouse of person already selected from Company X)
= (50/800) x (1/600)
= 1/9600
= B


Cheers,
Brent

BTGModeratorVI wrote: ↑

Sun Feb 23, 2020 6:57 am

Company X has 800 employees and Company Y has 600 employees. Among these employees, there are 50 married couples, each consisting of an employee from Company X and an employee from Company Y. If 1 employee is to be selected at random from each company, what is the probability that the 2 employees selected will be a married couple?

A) 1/480,000
B) 1/9,600
C) 7/2,400
D) 1/192
E) 7/48

Source: GMAT Hacks
Answer: B

Probability of selecting a married person from Company X = 50/800 = 1/16;

Since the selected married person from Company X would have his/her spouse in Company Y, the probability of selecting the spouse from Company Y = 1/600;

Required probability = 1/16 * 1/600 = 1/9,600

The correct answer: [spoiler][/spoiler]

Hope this helps!

-Jay
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BTGModeratorVI wrote: ↑

Sun Feb 23, 2020 6:57 am

Company X has 800 employees and Company Y has 600 employees. Among these employees, there are 50 married couples, each consisting of an employee from Company X and an employee from Company Y. If 1 employee is to be selected at random from each company, what is the probability that the 2 employees selected will be a married couple?

A) 1/480,000
B) 1/9,600
C) 7/2,400
D) 1/192
E) 7/48

Source: GMAT Hacks
Answer: B

The probability of selecting a married person from company X = 50/800. The probability of selecting that person’s partner in Company Y is 1/600. Therefore, the overall probability of selecting a married couple is 50/800 * 1/600 = 1/800 * 1/12 = 1/9600.

Answer: B