# Probability I: Introductory Ideas

Give a collectively exhaustive list of the possible outcomes of tossing tow dice.

Give the probability for each of the following totals in the rolling of two dice: 1, 2, 5, 6, 7, 10, and 11.

Which of the following are pairs of mutually exclusive events in the drawing of one card from a standard deck of 52?.

1. A heart and a queen.
2. A club and a red card.
3. An even number and a spade.
4. An ace and an even number.

Which of the following are mutually exclusive outcomes in the rolling of two dice?

1. A total of 5 points and a 5 on one die.
2. A total of 7 points and an even number of points on both dice.
3. A total of 8 points and an odd number of points on both dice.
4. A total of 9 points and a 2 on one die.
5. A total of 10 points and a 4 on one die.

A batter "takes" (does not swing at) each of the pitches he sees. Give the sample space of outcomes for the following experiments in terms of balls and strikes:

1. Two pitches.
2. Three pitches.

Consider a stack of nine cards, all spades, numbered 2 through 10, and a die. Give a collectively exhaustive list of the possible outcomes of rolling the die and picking one card. How many elements are there in the sample space?

Consider a stack of nine cards, all spades, numbered 2 through 10, and a die. Give the probability for each of the following totals in the sum of the roll of the die and the value of the card drawn:

 2 3 8 9 12 14 16

In a recent meeting of union members supporting Joe Royal for union president, Royal's leading supporting said ''chances are good'' that Royal will defeat the single opponent facing him in the election.

1. What are the “events” that could take place with regard to the election?
2. Is your list collectively exhaustive? Are the events in your list mutually exclusive?
3. Disregarding the supporter’s comments and knowing no additional information, what probabilities would you assign to each of your events?

Southern Bell is considering the distriburion of funds for a campaign to increase long-distance calls within North Carolina. The following table lists the markets that the company considers worthy of focused promotions:

Union shop steward B. Lou Khollar has drafted a set of wage and benefit demands to be presented to management. To get an idea of worker support for the package, he randomly polls the two largest groups of workers at his plant, the machinists and the inspectors. He polls 30 of each group with the following results.

Classify the following probability estimates as to their type (Classical, relative frequency, or subjective):.