Consider 5-card poker hands dealt from a standard 52-card bridge deck. Two important events are
A: {You draw a flush.}
B: {You draw a straight.}
[Note: A flush consists of any 5 cards of the same suit. A straight consists of any 5 cards with values in sequence. In a straight, the cards may be of any suit, and an ace may be considered as having a value of 1 or, alternatively, a value higher than a king.]
a. How many different 5-card hands can be dealt from a 52-card bridge deck?
b. Find P(A).
c. Find P(B).
d. The event that both A and B occur-that is, A ∩ B -is called a straight flush. Find P(A ∩ B).