CMA Foundation · Fundamentals of Business Mathematics and Statistics · Probability
A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that it is a king or a heart?
The probability is 4/13, equal to 16/52. There are 4 kings and 13 hearts, but the king of hearts belongs to both groups, so favourable cards are 4 + 13 - 1 = 16. Not subtracting the overlap would wrongly give 17/52.
- A17/52
- B4/13
- C15/52
- D16/52Correct
Explanation
Kings: 4, hearts: 13, king of hearts is counted in both. Favourable = 4 + 13 - 1 = 16. Probability = 16/52 = 4/13. The option 17/52 comes from forgetting to subtract the overlapping king of hearts.
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