Christy draws 3 cards from the deck one at a time without replacement. what is the probability of selecting the cards in the order: diamond, spade and diamond?

Start with a deck of 52 cards. Draw 1 card. Probability of drawing a diamond first:



Now draw another single card from the deck, which now contains 51 cards. Probability of drawing a spade:



Draw 1 last card. The deck has 50 cards left, and 12 of these are diamonds. Probability of drawing a diamond:



So the probability of drawing a diamond, then a spade, then another diamond is