Sample Space Answers

List all the elements of the sample space for the following experiment:You roll a die and toss a penny.

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? a. b. c. d. Please select the best answer from the choices provided

List all the elements of the sample space for the following experiment: You spin each of these spinners once.

If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d. Please select the best answer from the choices provided

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.

You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. If repeat letters are allowed, how many such codes are there? (Use the multiplication principle.)

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?

Examine the following table. x12345P(x)0.20.30.40.10.05Does this table represent a probability distribution? Explain your answer.

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 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. b. c. d. Please select the best answer from the choices provided

Suppose you flip a penny and a dime. Use the following table to display all possible outcomes. penny dime head ? head ? tail ? tail ? If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting two heads?

When two dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) 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. Chart A x 2 3 4 5 6 7 8 9 10 11 12 Px Chart B x 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 Px Chart C x 2 3 4 5 6 8 10 12 15 18 20 24 30 Px Chart D x 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 Px

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?