Use the Venn diagram to interpret what is happening in the formula.
Recall from Example 1 that a standard deck has 4 suits (hearts, diamonds, clubs, and spades); therefore,
P
(hearts)
The probability of drawing a heart or a king from a standard deck is
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. Each suit has 1 king, so.
. There is only 1 outcome of 52 cards in the deck that is in the intersection, so
.
or about 31%.
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Watch the
Probability of the Union of Two
Events
video to see more examples of determining the probability of non-mutually exclusive events.
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