What is the probability of drawing 2 hearts and then a spade in that order from a deck of 52 cards?

In order to determine the probability of drawing 2 hearts and then a spade, in that order, from a deck of 52 cards, start by considering the first card.

The probability of drawing a heart is 1 in 4.

Since you have now reduced the number of hearts and the number of cards in the deck by one, the probability of drawing another heart is 4 in 17.

Since you have further reduced the number of cards by one, the probability of drawing a spade is 13 in 50.

Multiply these probabilities together, (1/4) (4/17) (13/50), and you get about 0.0153, or about 153 in 10000.