Which statement best explains conditional probability and independence?
a) when two separate events, a and b, are independent, p(a|b)=p(a). this means that the probability of event b occurring first has no effect on the probability of event a occurring next.
b) when two separate events, a and b, are independent, p(b|a)≠p(a|b). the probability of p(a|b) or p(b|a) would be different depending on whether event a occurs first or event b occurs first.
c) when two separate events, a and b, are independent, p(a|b)=p(b). this means that the probability of event b occurring first has no effect on the probability of event a occurring next.
d) when two separate events, a and b, are independent, p(a|b)≠p(b|a). this means that it does not matter which event occurs first and that the probability of both events occurring one after another is the same.