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
- A.
2/18
- B.
1/13
- C.
¼
- 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.