8. You find the probability P (A or B) by using the equation PA or B) = P (A) + P (B) - P (A and B).

Describe why it is necessary to subtract PA and B) when the events A and B are overlapping.

Then describe why it is not necessary to subtract P (A and B) when the events A and B are disjoint.

Question

Jackrabbit

Mathematics

17 June, 21:48

8. You find the probability P (A or B) by using the equation PA or B) = P (A) + P (B) - P (A and B).

Describe why it is necessary to subtract PA and B) when the events A and B are overlapping.

Then describe why it is not necessary to subtract P (A and B) when the events A and B are disjoint.

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Answers (1)

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Peep · Answer 1

Step-by-step explanation:

When you add P (A) and P (B), the overlap P (A and B) is counted twice. So you must subtract it to get the probability P (A or B).

If A and B are disjoint, then P (A and B) = 0, so it isn't necessary to subtract.

8. You find the probability P (A or B) by using the equation PA or B) = P (A) + P (B) - P (A and B).Describe why it is necessary to subtract PA and B) when the events A and B are overlapping.Then describe why it is not necessary to subtract P (A and B) when the events A and B are disjoint.

8. You find the probability P (A or B) by using the equation PA or B) = P (A) + P (B) - P (A and B).

Describe why it is necessary to subtract PA and B) when the events A and B are overlapping.

Then describe why it is not necessary to subtract P (A and B) when the events A and B are disjoint.