Two real numbers x and y are chosen at random in the interval (0,1) uniformly. the probability that the closest integer to x/y is even can be expressed in the form r + s/pi, where r and s are rational numbers. given the identity pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9. find r+s.

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events