Theoretical and Experimental Probability Answers

Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?

Jasmine rolls a number cube 72 times. The number 2 is rolled 13 times and the number 3 is rolled nine times.To the nearest whole percent, what is the experimental probability of rolling a 2 or 3?

The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

A briefcase has a three-digit lock code that does not include zero as a digit.What is the probability that the lock code consists of all even digits if the same digit is not used more than once in the lock code?

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.What is the theoretical probability that applesauce and broccoli will both be offered on Monday?