10. 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. 2

Question

2 years ago

9

7. A) are the events mutually exclusive or not mutually exclusive?

1 answer:

antoniya [11.8K] · Answer 1 · 2023-08-27T02:57:26+03:00

The probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%. And the events are mutually exclusive.

<h3>What is the addition rule of size for two subsets?</h3>

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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