Question

Back to the cards! In poker, a flush is when all five cards are the same suit. Find the probability of being dealt a flush (when being dealt five cards).

Start by just considering clubs.

a) What is the probability that the first card dealt is a club?
b) What is the probability that the second card dealt is a club given that the first one was a club?
c) What is the probability that the third card dealt is a club given that the first two were clubs?
d) What is the probability that the fourth card dealt is a club given that the first three were clubs?

Answer 1

e) What is the probability that the fifth card dealt is a club given that the first four were clubs?
f) The probability of being dealt all five clubs is the product of the above probabilities. Why is this true and what is this probability?
g) You have now found the probability of being dealt a flush in clubs. This is the same as the probability of being dealt a flush in diamonds, hearts, or spades. Then, what is the proability of being dealt a flush?

Answer 2

how many cards are in a deck? and how many clubs are there?

Answer 3

ummm.... im not sure

Answer 4

these things would be useful to know in order to determine the general probabilty formula of: (# wanted from the set)/(total # of the set)

Answer 5

ok

Answer 6

\[P(club1)=\frac{\#clubs}{\#cards}\]

Answer 7

as each card is dealt, and as long as you are the only one being dealed to; the number of total cards in the deck decreases by 1 each time, and the number of suit cards we are looking for would be altered by what they are asking for and what we assume to be "given"

Answer 8

lets spose its a 52 card deck, and each suit has 13 cards in it to start out with