A red king — Probability Aptitude Question
A red king: One card is drawn from a pack of 52. What is the probability that it is a red king? Answer and worked solution on CodeKairo.
- Topic: Probability
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
One card is drawn from a pack of 52. What is the probability that it is a red king?
Options
- 1/26
- 1/13
- 1/52
- 2/13
Show the answer and the worked solution
Correct answer: A. 1/26
Worked solution
- Red kings: hearts and diamonds — 2 cards.
- Probability = 2/52 = 1/26.
Answer: 1/26.
The idea
Count the cards satisfying both conditions at once. Multiplying separate probabilities for 'red' and 'king' also gives 1/26 here.
Shortcut. Only two cards qualify — the king of hearts and the king of diamonds — so 2/52 = 1/26 with no multiplying.
Common trap. "1/13" — counting all four kings (4/52) and ignoring the 'red' condition.