Find the probability of drawing a 5 of Hearts on the first draw, replacing it and drawing a face card on the second draw.

Sure, let's break this down:

1. First, we need to find the probability of drawing a 5 of Hearts on the first draw. In a standard deck of 52 cards, there is only one 5 of Hearts. So the probability of drawing it is 1 out of 52, or 1/52.

2. Next, we replace the 5 of Hearts back into the deck. This means we still have 52 cards in the deck.

3. Now, we want to find the probability of drawing a face card on the second draw. Face cards are Jacks, Queens, and Kings, and there are 4 of each in a deck (one for each suit: Hearts, Diamonds, Clubs, Spades). So there are 4*3 = 12 face cards in total. The probability of drawing a face card is therefore 12 out of 52, or 12/52.

4. To find the overall probability of both events happening, we multiply the probabilities together. So the probability of drawing a 5 of Hearts and then a face card (with replacement) is (1/52) * (12/52) = 12/2704 = 0.00444, or approximately 0.44%.