# Can you solve this problem? A man and his wife appear in an interview...

1. 75
boyatdelhiposted 6 years ago

Can you solve this problem? A man and his wife appear in an interview...

A man and his wife appear in an interview for two vacancies in the same post.  The probability of husband's selection is 1/7 and the probability of wife's selection is 1/5.  What is the probability that only one of them is selected?

Option: a. 4/5    b. 2/7    c. 8/15    d. 4/7

2. 92
drpennypincherposted 6 years ago

d. 4/7
For each vacancy:
Probability of husband getting the post: 1/7
P husband NOT getting the post: 6/7
P wife getting the post: 1/5
P wife not getting the post: 4/5

Now consider P husband and not wife + P wife and not husband.  Take 2x since there are 2 posts:
2(1/7)(4/5) + 2(1/5)(6/7) = 4/7

3. 48
df-asposted 6 years ago

well, you have to specify whether the events are independent or not.  it could be that the agency has a secret policy not to hire two married people, or to hire married couples.  that effects the outcome.

if they are independent then it is just (1/7)(4/5) + (1/5)(6/7) = 10/35 = 2/7

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