Exam 3: Probability

The table shows the political affiliations and types of jobs for workers in a particular state. Suppose a worker is selected at random within the state and the workerʹs political affiliation and type of job are noted. What is the probability that the worker is a white collar Republican?

Unions and intersections of events are examples of compound events.

A fair die is rolled one time. Let A be the event that an odd number is rolled. Describe the $\text { event } A ^ { C } \text {. }$

Find the numerical value. -Suppose six people apply for two managerial positions at a company - two men and four women. Because the candidates are all considered equally qualified for the position, the company decides To randomly select the two candidates who will get the positions. How many different ways can Two people be selected from the six applicants?

Determine the number of sample points in the sample space corresponding to the experiment of tossing 3 dice.

If A and B are mutually exclusive events, then $P ( A \cup B ) = 0$

For two events, $A$ and $B , P ( A ) = .4 , P ( B ) = .7$ , and $P ( A \cap B ) = .2$ . Find $P ( A \mid B )$ .

Which number could be the probability of an event that is almost certain to occur?

A consumer advocacy group rates the quality of a cellular service provider using three criteria. A: Service is available at least 99% of the time. B: Reception is clear at least 95% of the time. D: Fewer than 5% of its customers have complaints about the quality of service. $\text { Describe a cellular service provider represented by } A ^ { c } \cup B ^ { c } \cup D ^ { c } \text {. }$

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows. A: {Both chips are red} B: {At least one of the chips is blue} Are the events A and B mutually exclusive? Explain.

An experiment consists of rolling two dice and summing the resulting values. Which of the following is not a sample point for this experiment?

Suppose that for a certain experiment $P ( A ) = \frac { 1 } { 3 }$ and $P ( B ) = \frac { 1 } { 4 }$ , and events $A$ and $B$ are mutually exclusive. Find $P ( A \cup B )$ .

Each manager of a corporation was rated as being either a good, fair, or poor manager by his/her boss. The managerʹs educational background was also noted. The data appear below: Given that a manager is rated as fair, what is the probability that this manager has no college background?

You have 5 tasks to complete and 15 people, including yourself, to complete the tasks. In how many ways can you assign 3 people to each task?

Find the numerical value. -You toss one coin and one die. What is the probability of getting heads and 3?

The table shows the number of each Ford car sold in the United States in June. Suppose the sales record for one of these cars is randomly selected and the type of car is identified. Events $A$ and $B$ are defined as follows. A: {Convertible, SUV, Van} B: : {Fewer than 10,000 of the type of car were sold in June} Is $P ( A \cup B )$ equal to the sum of $P ( A )$ and $P ( B )$ ? Explain.

The table displays the probabilities for each of the six outcomes when rolling a particular unfair die. Suppose that the die is rolled once. Let A be the event that the number rolled is less than 4, and let B be the event that the number rolled is odd. Outcome 1 2 3 4 5 6 Probability .1 .1 .1 .2 .2 .3 Find P(A\midB) .

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Event A is defined as follows. A: {Both chips are red} a. Describe the event $A^c$ . b. Identify the sample points in the event $A ^C$ . c. Find $P \left( A ^ { C } \right)$ .

There are 10 movies that Greg would like to rent but the store only allows him to have 4 movies at one time. In how many ways can Greg choose 4 of the 10 movies?