Exam 4: Probability and Probability Models

The simultaneous occurrence of events A and B is represented by the notation ________.

Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are R and A mutually exclusive?

An urn contains five white, three red, and four black balls. Three are drawn at random and not placed back into the urn. What is the probability that no ball is red?

Two events are independent if the probability of one event is influenced by whether or not the other event occurs.

In a local survey, 100 citizens indicated their opinions on a revision to a local land-use plan. Of the 62 persons giving favorable responses, 40 were males. Of the 38 giving unfavorable responses, 15 were males. If one citizen is randomly selected, find the probability that person has a favorable opinion or has an unfavorable opinion

What is the probability of rolling a value higher than eight with a pair of fair dice?

A machine is produced by a sequence of operations. On average, one out of every 1000 machines produced is defective. What is the probability that two machines selected at random are both nondefective?

Determine whether these two events are mutually exclusive: consumer with an unlisted phone number and a consumer who does not drive.

Determine whether these two events are mutually exclusive: someone with three sisters and someone with four siblings.

A machine is made up of 3 components: an upper part, a middle part, and a lower part. The machine is then assembled. 5 percent of the upper parts are defective, 4 percent of the middle parts are defective, and 1 percent of the lower parts are defective. What is the probability that a machine is not defective?