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. 4/7d. 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) = 4/7well, 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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