AP BIOLOGY

Detailed explanation-1: -Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second? Q. If two events are dependent, then the first event does NOT affect the second event.

Detailed explanation-2: -Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

Detailed explanation-3: -Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375.

Detailed explanation-4: -Independent Events: the probability of one event DOES NOT effect the probability of a 2nd event. Dependent Events: the probability of one event DOES effect the probability of a 2nd event.

Detailed explanation-5: -Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.