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?

1/52

1/16

13/52 spades. 13/52 hearts.
1/4 × 1/4 = 1/16

To calculate the probability that Michelle draws a Heart and then a Spade, we need to determine two things: the probability of drawing a Heart on the first draw, and the probability of drawing a Spade on the second draw.

1. Probability of drawing a Heart on the first draw:
There are 52 cards in a standard deck, and 13 of them are Hearts. Therefore, the probability of drawing a Heart on the first draw is 13/52, which simplifies to 1/4.

2. Probability of drawing a Spade on the second draw:
Since Michelle replaces the card after the first draw, the total number of cards in the deck remains 52 for the second draw. Out of these 52 cards, there are still 13 Spades. So, the probability of drawing a Spade on the second draw is also 13/52, or 1/4.

Now, we can multiply the probabilities together to find the probability of both events happening:

Probability of drawing a Heart and then a Spade = (1/4) * (1/4) = 1/16.

Therefore, the probability that Michelle draws a Heart and then a Spade is 1/16.

13/52 = 1/4 for any suite.

The probability for both/all events is found by multiplying the probabilities of the individual events.