posted by Jason .
A standard deck of cards has 52 cards in it. The cards are divided into 4 suits or 13 cards each.If one draws two cards at random from the deck of cards what is the probability that they are of the same suit ?
The first draw is some suit.
The probability that the second draw is that suit is 1/4 = 0.25
number of same suit pairs ... 4 * 13C2
number of pairs ... 52C2
probability ... 4 * 13C2 / 52C2
I assumed you put the first card back. If not then it becomes 12/51
re Damon's answer
after the 1st card is drawn, that suit has fewer cards than the other three suits ... the probability is not 1/4 it is 12/51
but his logic works
so ... replacement or not?