The face-down deck of cards contains four hearts six diamonds three clubs and six spades. What is the probability that the first two cards drawn will both be spades?
First we need to know how many cards are in the deck. Since we have 4 hearts, 6 diamonds, 3 clubs, and 6 spades, there are
Now, the probability that the first card is a spade is
If the first two cards drawn will be spades, then after drawing one spade we will have
To wrap it up, the probability of drawing a spade first (