One card is drawn from a standard deck. What is the probability of drawing a heart or a spade?
AIt is 1/4
BIt is 1/13
CIt is 2/13
DIt is 1/2
Answer & Solution
Correct answer: D. It is 1/2
1. A deck holds four suits in equal numbers, so the probability of a heart is 1/4 and the probability of a spade is also 1/4.
2. No card is both a heart and a spade, so the two events are mutually exclusive.
3. With no overlap the probabilities simply add: 1/4 + 1/4.
4. That gives 1/2.
5. Subtracting an intersection here would be an error, since the intersection is empty.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.7 Probability_
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