Theoretical and Experimental Probability

Question 1

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters. A dart is randomly thrown at the board.

Revolt · Accepted Answer

25%

Question 2

Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

Revolt · Accepted Answer

A = {KL}

Question 3

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?

Revolt · Accepted Answer

31%

Question 4

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?

Revolt · Accepted Answer

S = {PQ, QP, PR, RP, QR, RQ}

Question 5

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?

Revolt · Accepted Answer

20%

Question 6

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.If the students are chosen at random, what is the probability that the students chosen are not both girls?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/f20cb568e0e7c4687dec785be6c02030.png

Question 7

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?

Revolt · Accepted Answer

24 out of 504

Question 8

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?

Revolt · Accepted Answer

S = {FGI, FIG, GFI, GIF, IFG, IGF}

Question 9

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.What is the complement of April choosing five pop CDs?

Revolt · Accepted Answer

choosing five CDs where not all of them are pop

Question 10

three

Revolt · Accepted Answer

The theoretical probability of spinning any one of the five colors is 20%.; The theoretical probability of spinning green is equal to the experimental probability of spinning green.; If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.

Theoretical and Experimental Probability Answers

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