Michelle draws a card from a standard deck of 52 cards. she replaces the card and draws a second card. what is the probability that she draws a heart and then a spade? [note: there are 13 each of hearts, spades, clubs, and diamonds.]

To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is



When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, . In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is .