Multiple choice

From a pack of cards, three cards are drawn at random. Find the probability that each card is from different suit.

  1. $144 / 2550$
  2. $169 / 425$
  3. $169 / 2500$
  4. $144 / 2100$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Probability = (52/52)×(39/51)×(26/50) = 169/425. First card: any of 52. Second card: 39 of remaining 51 are from different suits. Third card: 26 of remaining 50 are from the third remaining suit.