An intuitive approach to the Addition Rule can be stated as follows, \"To find P

Question

An intuitive approach to the Addition Rule can be stated as follows, "To find P(A or B) in an experiment, find the sum of the number of ways event A can occur and the number of ways event B can occur and then divide that sum by the total number of outcomes in the sample space. In order for this to be valid, what must be added to the statement? Choose the correct answer below O A. O B. When counting the number of outcomes in event B, it must be assumed that event A has also occurred. Events A and B must be complements for this intuitive approach to be valid. valid. D. The number of outcomes in each event must be counted in such a way that no outcome is counted more than once.

Explanation / Answer

The given statement is equivalent to saying

P(S) = P(A) + P(B)

But P(A) = 1 - P(A') = P(S) - P(A')

=> P(B) = P(A')

Therefore the answer is:

B. Events A and B must be complements for this intutive approach to be valid.

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