The probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%. And the events are mutually exclusive.
For two subsets A and B of the universal set U, we have:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
The probability of a new york teenager owning a skateboard is 0.37, of owning a bicycle is 0.36, and of owning both is 0.27.
Then the probability of the teenager owning a skateboard or a bicycle will be
P(A ∪ B) = 0.37 + 0.36 - 0.27
P(A ∪ B) = 0.73 - 0.27
P(A ∪ B) = 0.46
Thus, the probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%.
The events are mutually exclusive.
Learn more about the addition rule for two subsets here:
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