Sample Space (quiz)~ amdm

List all the elements of the sample space for the following experiment: You roll a die and toss a penny. a. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T) b. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, H), (2, H), (3, H), (4, H), (5, H), (6, H) c. (1, T), (2, T), (3, T), (4, T), (5, T), (6, T), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T) d. (1, H), (3, H), (5, H), (2, T), (4, T), (6, T)

A. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)

A card is picked at random from a standard deck of 52 cards. What is the probability of picking a face card (King, Queen, or Jack)? a. 3/13 b. 3/26 c. 14/52 d. 12/13

A. 3/13

List all the elements of the sample space for the following experiment: You spin a spinner with four equal sections labeled 1, 2, 3, and 4 and toss a dime. a. (1, H), (2, H), (3, H), (4, H), (1, H), (2, H), (3, H), (4, H) b. (1, H), (2, H), (3, H), (4, H), (1, T), (2, T), (3, T), (4, T) c. (1, T), (2, T), (3, T), (4, T), (1, T), (2, T), (3, T), (4, T) d. (1, H), (H, 1), (2, H), (H, 2), (3, H), (H, 3), (4, H), (H, 4), (1, T), (2, T), (3, T), (4, T)

B. (1, H), (2, H), (3, H), (4, H), (1, T), (2, T), (3, T), (4, T)

When two dice are rolled, 36 equally likely outcomes are possible as shown below. Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and determine which chart shows the probability distribution for the product of the two numbers. a. Chart A c. Chart C b. Chart B d. Chart D

B. Chart B

In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely. Find the sample space and then find the probability of getting a B. a. The sample space is 18. The probability of getting a B is 1/9 b. The sample space is 18. The probability of getting a B is 1/3 c. The sample space is 9. The probability of getting a B is 1/9 d. The sample space is 9. The probability of getting a B is 1/18

B. The sample space is 18. The probability of getting a B is 1/3

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 7/8 b. 001, 011, 101, 111; the probability is 2/8 c. 000, 010, 011, 101, 111; the probability is 2/8 = 1/4 d. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 3/8

D. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 3/8

Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = 3/12 b. 12 possible outcomes; P(1 or 2) = 1/3 c. 6 possible outcomes; P(1 or 2) = 1/4 d. 6 possible outcomes; P(1 or 2) = 1/3

D. 6 possible outcomes; P(1 or 2) = 1/3

When dealing with the occurrence of more than one event, what multiplication process can be used to easily determine all possible combinations without listing the entire sample space? a. experiment c. theoretical probability b. tree diagram d. counting principle

D. counting principle

Examine the following table. Does this table represent a probability distribution? Explain your answer. a. Yes, because the sum of the probabilites is less than one. b. Yes, because the sum of the probabilities is more than one. c. No, because the sum of the probabilities is more than one. d. No, because the sum of the probabilities is less than one.

NOT A

Phone numbers consist of a three-digit area code followed by seven digits. If the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible? How did you come up with your answer?

NOT D