Hi guys, I was hoping soemone could give me some help with my homework. They are mostly probability questions. I am completely lost!Anyhelp is appreciated. Thank you in advance for your help.

Problems:

1. Explain under what circumstances a permutation should bea combination should be used.

used in a probability problem, and under what circumstances

2.Suppose2cards are drawn without replacement from an ordinary deck of52.Find the probabilities of the following results. One is a face card and the other is not.

3. Suppose someone offers to pay you $100 if you draw 3 cards from a standard deck of 52 cards and all the cards are clubs. What should you pay for the chance to win if it is

a fair game?

4. Give a probability distribution,(b)sketch its histogram, and(c)find the expected value

In 1992, the Big 10 collegiate sports conference

moved to have women compose at least 40% of its

athletes within 5 years.§ Suppose they exactly achieve the

40% figure, and that 5 athletes are picked at random from

Big 10 universities. The number of women is recorded.

5. A lottery has a first prize of $5000, two second

prizes of $1000 each, and two $100 third prizes. A total ofof a person buying 1 ticket.

10,000 tickets is sold, at $1 each. Find the expected winnings