Posted by **jane** on Sunday, January 27, 2013 at 6:34pm.

A bag contains ﬁfty slips (small pieces of paper) with the numbers 1, 2, . . . , 50 written on them

(One number on each slip!). Your friend writes down ten numbers from 1, 2, . . . , 50 on a sheet

of paper, and then you draw—without replacement—twenty slips randomly from the bag, and

look at the numbers drawn.

1. What is the sample space?

2. What is the probability that all the numbers which your friend wrote down also appear

among the drawn slips?

3. What is the probability that none of your friend’s numbers is drawn?

4. What is the probability that exactly half of your friend’s numbers are drawn?

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