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test the pair of events b and d for independence based on the following table. a b c total d 0.12 0.04 0.24 0.40 e 0.09 0.03 0.18 0.30 f 0.09 0.03 0.18 0.30 total 0.30 0.10 0.60 1.00 Are A and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. A) A and D are dependent because P(AnD) equals P(A)P(D): P(AOD) = and P(AJP(D) = B) A and D are dependent because P(AnD) does not equal P(A)P(D): P(AnD) = and P(A)P(D) = C) A and D are independent because P(AnD) does not equal P(A)P(D): P(AnD) = and P(A)P(D) = D) A and D are independent because P(AOD) equals P(A)P(D): P(AnD) = and P(A)P(D) =

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There must be no chance that d and e will happen. If the two occurrences cannot coexist, we can infer that they are not independent.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

What is the probability formula?

P(A) = n(A)/n(S)

Where P(A) is the likelihood that an event "A" will occur and n(A) is the number of positive outcomes. The total number of occurrences in the sample space is denoted by n(S).

We must have a similar probability for both events in order for them to be independent. Because of the table, we may test for independence by knowing the likelihood that e and d will occur. When we are told that occurrences d and e are mutually exclusive, the entire table of values becomes somewhat of a red herring. The chance of d given e and the probability of d given d are both equal to zero if two events are mutually incompatible. There must be no chance that d and e will happen. If the two occurrences cannot coexist, we can infer that they are not independent. There is a chance for it.

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