Question

Three face cards are drawn at random from a deck of cards without replacement. What is the probability that no two cards belong to the same suit?

• A.
• B.
• C.
• D.
• E. None of these

Answer 1

The correct option is D

There are 52 cards in a deck, out of which there are 3 face cards in each suit.

$\therefore$ P (no two face cards belong to the same suit) = $\frac{12}{52}\times \frac{9}{51}\times \frac{6}{50}=\frac{27}{5525}$