What is the probability that a card drawn at random from a standard pack of 52…

2023

What is the probability that a card drawn at random from a standard pack of 52 cards is either a diamond or a king?

Answer: A. 4/13Solution: Calculate the number of favorable cards and divide by 52. Number of diamonds = 13. Number of kings = 4. Overlap (king of diamonds) counted in both…

  1. A.

    4/13

  2. B.

    1/21

  3. C.

    8/23

  4. D.

    6/25

Attempted by 79 students.

Show answer & explanation

Correct answer: A

Solution: Calculate the number of favorable cards and divide by 52.

  • Number of diamonds = 13.

  • Number of kings = 4.

  • Overlap (king of diamonds) counted in both groups = 1, so subtract it once.

  • Total favorable cards = 13 + 4 - 1 = 16.

  • Probability = 16/52 = 4/13.

Final answer: 4/13.

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