Question

Patrick 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 not a heart?

Answer 1

Total Outcome for an instance = 52
Favorable Outcome (Not being a Club, or a Heart) = 52 - 13 = 39

So, It would be: 39/52 * 39/52
= 3/4 * 3/4
= 9/16

In short, Your Answer would be 9/16

Hope this helps!