From a deck of 52 cards, 3 cards drawn randomly. What is the probability of…

2024

From a deck of 52 cards, 3 cards drawn randomly. What is the probability of getting 1 spade, 1 red queen and 1 black king?

Answer: C. 1/425 — Total cards=52 choosing 3 cards=52C3 choosing one spade=13C1 (from 13 spades) choosing one red queen=2C1 (from 2 red queens) choosing one black king=2C1 (from…

  1. A.

    1/325

  2. B.

    1/415

  3. C.

    1/425

  4. D.

    1/625

Attempted by 84 students.

Show answer & explanation

Correct answer: C

Total cards=52
choosing 3 cards=52C3
choosing one spade=13C1 (from 13 spades)
choosing one red queen=2C1 (from 2 red queens)
choosing one black king=2C1 (from 2 black kings)
The required probability is
(13C1*2C1*2C1)/52C3 = 1/425

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