Assume that 7 people, including the husband and wife pair, apply for 6 sales positions. People are hired at random. What is the probability that one is hired and one is not?

Question

8100 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-27T02:12:51

#2/7#

I assume that "one is hired and one is not" means any one of them is hired.

The no of ways 6 people can be hired from 7 at random is #""^7C_6=7#

Among these 7 groups there exist 2 groups where either husband or wife is present.

So number of favorable events is 2 and no of possible events is 7.

Hence the probability one is hired and one is not wil be

#P="no of favorable events"/"no of possible events"#

#=2/7#