Probability and the Addition Rule

What is the General Addition Rule used for?

• To compute probabilities of mutually exclusive events

• To compute probabilities of events in the form A or B

• To compute probabilities of independent events

• To compute probabilities of dependent events.

In the context of the General Addition Rule, a compound event is of the form ________.

• A) A and B

• B) A or B

• C) A but not B

• D) Neither A nor B.

Based on the table, what is the probability that a randomly selected adult is likely to vote or favors the law?

• 0.872

• 0.726

• 0.512

• 0.845

What is the probability that a randomly selected worker is a college graduate?

• 0.4523

• 0.3422

• 0.4322

• 0.5000

In the table, what is the probability that the occupation of a randomly selected worker is categorized either as Sales and office or as Production and transportation?

• 0.4631

• 0.3461

• 0.3614

• 0.6341

What does it mean for two events to be mutually exclusive?

• They cannot occur at the same time.

• They must occur together.

• They are independent.

• They are dependent.

Fill in the blank: Two events are said to be mutually exclusive if it is ________________ for both events to occur.

• impossible

• possible

• necessary

• optional

A die is rolled. Event A is that the die comes up 3, and event B is that the die comes up an even number. Are these events mutually exclusive?

• Yes

• No

According to the Addition Rule for Mutually Exclusive Events, if events A and B are mutually exclusive, what is P(A and B)?

• A) 1

• B) 0

• C) 0.5

• D) 2

A total of 11,544 athletes competed in the Olympics. If 554 represented the United States, 314 represented Canada, and 125 represented Mexico, what is the probability that an Olympic athlete chosen at random represents the U.S. or Canada?

• 0.075

• 0.0752

• 0.076

• 0.0762