AP BIOLOGY

Detailed explanation-1: -In probability, we say two events are independent if knowing one event occurred doesn’t change the probability of the other event. For example, the probability that a fair coin shows “heads” after being flipped is 1 / 2 1/2 1/2 .

Detailed explanation-2: -Answer and Explanation: Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. If an event affects the result of the other, then they are considered dependent.

Detailed explanation-3: -Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B)

Detailed explanation-4: -Dependent events influence the probability of other events – or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.

Detailed explanation-5: -If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events. P(A) = P(A│B) = 1/2, which implies that the occurrence of event B has not affected the probability of occurrence of the event A .