2.Flip a fair coin twice.

Let H: the coin lands on a head;T: the coin lands on a tail.S = {(H, H), (H, T), (T, H), (T, T)}

Find:

a.P (both are H)

b.P (1st is T 2nd is H)

c.P (both are T | at least one T)

d.P (2nd is H | both are T)

e.P (at least one H | 2nd is T)

5. Randomly select one card from a well shuffled deck of cards.

Let A: the select card is an ace; D: the select card is a diamond.

Find:

a.P (A)

b.P (D)

c.P (A D)

d.P (A D)

e.P (A | D)

f.P (D | A)

Two cards are being randomly selected without replacement.g. What's the probability that both cards are ace?

h. What's the probability that the first card is a red king and the second card is a black king?