Exam 12: Counting and Probability

Choose the one alternative that best completes the statement or answers the question. -In a survey about the number of siblings of college students, the following probability table was constructed: Number of Siblings Probability 0 0.24 1 0.32 2 0.19 3 0.14 4 or more 0.11 What is the probability that a student has less than 2 siblings?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Tossing two fair coins once

Solve the problem. -Among a group of 80 investors, 19 owned shares of Stock A, 29 owned shares of Stock B, 40 owned shares of Stock C, 12 owned shares of both Stock A and Stock B, 9 owned shares of Stock A and Stock C, 13 owned shares Of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the Three? How many owned shares of either Stock A or Stock C but not Stock B?

Choose the one alternative that best completes the statement or answers the question. -During July in Jacksonville, Florida, it is not uncommon to have afternoon thunderstorms. On average, 9.5 days have afternoon thunderstorms. What is the probability that a randomly selected day in July will not have a Thunderstorm? Round to two decimal places, if necessary.

Choose the one alternative that best completes the statement or answers the question. -A 6-sided die is rolled. What is the probability of rolling a number less than 3?

Solve the problem. -List all the combinations of 6 objects a, b, c, d, e, and f taken 2 at a time. What is C(6, 2)?

Solve the problem. -A group of 7 friends goes bowling. How many different possibilities are there for the order in which they play if the youngest person is to bowl first?

Solve the problem. -A certain mathematics test consists of 20 questions. Goldie decides to answer the questions without reading them. In how many ways can Goldie fill in the answer sheet if the possible answers are true and false?

Determine whether the following is a probability model. - Outcome Probability Red -0.21 Blue 0.27 Green 0.30 White 0.22

Choose the one alternative that best completes the statement or answers the question. -A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is red or green when one marble is drawn from the bag?

Choose the one alternative that best completes the statement or answers the question. -Given that $P ( A ) = 0.56$ and $P ( B ) = 0.26$ , find $P ( A \cup B )$ if $A$ and $B$ are mutually exclusive.

Solve the problem. -If $n ( B ) = 24 , n ( A \cap B ) = 5$ , and $n ( A \cup B ) = 42$ , find $n ( A )$ .

Solve the problem. -How many 6-symbol codes can be formed using 4 different symbols? Repeated symbols are allowed.

Solve the problem. -How many 2-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed.

Find the value of the permutation. -P(4, 0)

Solve the problem. -A student must choose 1 of 5 mathematics electives, 1 of 7 science electives, and 1 of 7 programming electives. How many possible course selections are there?

Solve the problem. -The following data represent the marital status of females 18 years and older in a certain U.S. city. Marital Status Number (in thousands) Married 308 Widowed 58 Divorced 65 Never married 114 Determine the number of females 18 years old and older who are married or widowed.

Choose the one alternative that best completes the statement or answers the question. -How many different vertical arrangements are there of 8 flags if 3 are white, 3 are blue, and 2 are red?

Solve the problem. -In how many ways can 2 people each have different birth months?

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 many ways can she make her selection? How many ways can she make her selection if he decides that one of the fish is a Must?