A sample of 200 persons is asked about their handedness. A two way table of observed counts follows:

	Left Handed	Right Handed	Total
Men	11	79	90
Women	9	101	110
Total	20	180	200

1. If two persons are randomly selected with replacement,

a. What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men?

b. What is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women?

If two persons are randomly selected without replacement,

a. What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men?

b. What is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women?

2. Flip a fair coin twice. Let H: the coin lands on a head; T: the coin lands on a tail. 5 = {(H. H), (H, T), (T, H), (T, T)} Find: a. P(b0d'1 are H) b. P(15' is T u 2\" is H) C. P(b0th are T | at least one T)