Question

simon is doing a card trick using a standard 52-card deck with four suits: hearts, diamonds, spades, and clubs. He shows his friend a card, replaces it, and then shows his friend another card. What is the probability that the first card is not a club and the second card is a diamond?

Answer 1

Probability that the first card is not a club is 1 minus probability that it is a club. i.e. 1 - 1/4 = 3/4
Probability that the second card is a diamond = 1/4
Probability that the first card is not a club AND the second card is a diamond is 3/4 x 1/4 = 3/16