Exam 10: Counting and Probability

Solve the problem. -In survey of 50 households, 25 responded that they have an HDTV television, 35 responded that they hada multimedia personal computer and 15 responded they had both. How many households had neither anHDTV television nor a multimedia personal computer?

Solve the problem. -A group of 6 friends goes bowling. How many different possibilities are there for the order in which theyplay if the youngest person is to bowl first?

Solve the problem. -Mary finds 8 fish at a pet store that she would like to buy, but she can afford only 5 of them. In how manyways can she make her selection? How many ways can she make her selection if he decides that one of thefish is a must?

Write down all the subsets of the given set. -{p, q, r}

Solve the problem. -Given that P(A)= 0.21 and P(B)= 0.32, find P(A ∩B)if A and B are mutually exclusive.

Solve the problem. -In how many ways can 5 people each have different birth months?

Find the value of the permutation. -P(5, 1)

Solve the problem. -The table below shows the results of a consumer survey of annual incomes in 100 households. What is the probability that a household has an annual income of $25,000 or more?

Solve the problem. -A twelve-sided die is weighted so that only the numbers 1 through 5 will appear and they will occur withthe same probability. What probability should be assigned to each face?

Solve the problem. -A committee is to be formed consisting of 5 men and 2 women. If the committee members are to be chosenfrom 13 men and 9 women, how many different committees are possible?

Solve the problem. -Given that P(A)= 0.33 and P(B)= 0.30, find P(A ∪B)if A and B are mutually exclusive.

Use the information given in the figure. - How many are in set A?

Solve the problem. -In a survey about the number of siblings of college students, the following probability table was constructed What is the probability that a student has at least 2 siblings?

Solve the problem. -Find the probability of getting 2 tails when 3 fair coins are tossed.

Solve the problem. -9 different books are to be arranged on a shelf. How many different arrangements are possible?

Solve the problem. -A 6-sided die is rolled. What is the probability of rolling a number less than 6?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Spinner I has 4 sections of equal area, numbered 1, 2, 3, and 4, and Spinner II has 4 sections of equal area, labRed, Yellow, Green, and Blue. Spin Spinner I and then spin Spinner II.What is the probability of getting a 1 or 3 followed by Red?

Write the word or phrase that best completes each statement or answers the question. -How many different 11-letter words (real or imaginary)can be formed from the letters of the wordMISSISSIPPI? Leave your answer in factorial form.

Write the word or phrase that best completes each statement or answers the question. -How many different vertical arrangements are there of 9 flags if 4 are white, 3 are blue, and 2 are red?

Solve the problem. -A lottery game has balls numbered 1 through 19. What is the probability of selecting an even numberedball or a 7?