Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.Define events A = {the next two babies are boys} and B = {at least one of the next two babies is a boy}.What do we know about events A and B?
A)They are disjoint.
B)They are complements.
C)They are independent.
D)None of the above

Question

Quizplus · Accepted Answer

Events A and B are not mutually exclusive, so they cannot be disjoint. They are also not complements, as the complement of event B would be "neither of the next two babies is a boy". Event A and Event B are not independent, since the occurrence of Event A affects the probability of Event B (if Event A occurs, then Event B also occurs). Therefore, the answer is D, "None of the above".

Ignoring Twins and Other Multiple Births,assume Babies Born at a Hospital