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If A and B are dependent events, which of these conditions must be true?
a. P(A and B)=P(A) + P(B)
b. P(A and B)= P(B)
P(A)
c. P(B|A)=P(B)
d. P(A|B)=P(A)
e. P(B|A) does not equal P(B)

Respuesta :

W0lf93
Two events are said to be dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed. Also, Two events are said to be independent if the outcome or occurrence of the first does not affects the outcome or occurrence of the second so that the probability is not changed. For independent events: P(A and B) = P(A) x P(B). Recall that P(B|A) = P(A and B) / P(A) = P(A) x P(B) / P(A) = P(B). Therefore, for dependent events, P(B|A) is not equal to P(B).
MrRoyal

The true statement is that the dependent events A and B (e) P(B|A) does not equal P(B)

How to determine the true statement?

The events are given as:

Events A and B

Two events A and B are dependent if the following equation is true

P(A and B) = P(A) * P(B | A)

Or

P(A and B) = P(B) * P(A | B)

This means that:

P(B |A) and P(B) are not equal

Hence, the true statement is (E)

Read more about dependent events at:

https://brainly.com/question/12700357

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