simon is doing a card trick using a standard 52-card deck with four suits: hearts, diamonds, spades, and clubs. He shows his fri

Question

3 years ago

7

simon is doing a card trick using a standard 52-card deck with four suits: hearts, diamonds, spades, and clubs. He shows his fri

end 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?

Mathematics

1 answer:

Ganezh [65] · Answer 1 · 2022-08-27T20:30:33+03:00

Ganezh [65]3 years ago

6 0

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