The probability of drawing a red card from a deck of playing cards is

2024

The probability of drawing a red card from a deck of playing cards is

  1. A.

    2/18

  2. B.

    1/13

  3. C.

    ¼

  4. D.

    ½

Attempted by 74 students.

Show answer & explanation

Correct answer: D

Solution:

  • Count the cards: a standard deck has 52 cards. Red cards are the hearts and diamonds suits, each with 13 cards, so there are 13 + 13 = 26 red cards.

  • Compute the probability: number of favorable outcomes divided by total outcomes = 26/52 = 1/2.

  • Therefore the correct probability is 1/2, which matches the option showing "½".

  • Why the other choices are incorrect:

    • 2/18 simplifies to 1/9, which does not equal 1/2.

    • 1/13 equals 4/52, the probability of drawing a card of a specific rank (for example, any Ace), not the probability of drawing any red card.

    • 1/4 equals 13/52, the probability of drawing a card from one suit (for example, hearts). Red cards include two suits, so the probability is twice that, i.e., 26/52 = 1/2.

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