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Company interview process probability questions

Please could I have the answer to this:

Full workings please.

A shortlist of 10 people is drawn up from a large number of applicants for a certain job.

The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.

Determine the probability that:

a) Both interviewees are women
b) Both interviewees are men
c) One interviewee is a man and the other a woman.

Solution Preview

(a)
<br>In this case we just want 2 women and there are 3. We choose 2 out of 10, but we desire to choose 2 out of 3, that ...

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