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?
- A.
1/325
- B.
1/415
- C.
1/425
- D.
1/625
Attempted by 51 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