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)

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).

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.