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
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