A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). What is the probability of being dealt a flush of five cards?
a. Initially concentrate on one suit, say clubs.
There are 13 clubs in a deck. Compute P(five clubs) = P(first card is a club and second card is a club and third card is a club and fourth card is a club and fifth card is a club). Round to six decimal places as needed.
b. A flush can occur if a player receives five clubs or five diamonds or five hearts or five spades. Compute P(five clubs or five diamonds or five hearts or five spades). Note that the events are mutually exclusive. Round to three decimal places as needed.