Using a standard deck of cards, what is my probability that I choose a red card, put it back, then I choose a 7

Answer 1

Since you are sampling with replacement, the probability of picking a 7 on the second draw is independent of the probability of picking a red card on the first draw. So you just need to determine the probability of picking a 7. Since there are 4 7's in a deck of 52 cards, the probability is 4/52 = 1/13.