35 men and 25 women attend their staff christmas party. Each person's name is written on a piece of paper and put into a hat for drawing 5 identical door prizes.

a) if 5 names are selected out of the hat and names are not replaced once drawn what is the probability that 2 or more women win a prize?

b) in part a) what is the expected number of women to win a prize

c) if each time a name is drawn it is returned to the hat, what is the expected number of women that win a prize

d) Before the draw, Rose decides to increase her chances by adding 5 more pieces of paper with her name on them. If names are not returned to the hat what is the probability she will be discovered cheating.

can't get this entire question please help... asap...

Can you show me how far you've gotten so I can point you in the right direction?

a) and b) is a Hypergeometric distribution problem.

c) is a binomial distribution problem.

d) Calculate the probability that Rose's name is drawn more than once. This is another Hypergeometric distribution problem.

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