Theoretical and Experimental Probability

Question 1

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 2

A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and 78 are even. The number 9 was generated 15 times.To the nearest whole percent, what is the experimental probability of an odd number other than 9 being generated?

Revolt · Accepted Answer

38%

Question 3

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 4

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 5

Dayshawn can choose two of his four t-shirts to take on a weekend trip.If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?

Revolt · Accepted Answer

S = {AB, AC, AD, BC, BD, CD}

Question 6

A padlock has a four-digit code that includes digits from 0 to 9, inclusive.What is the probability that the code does not consist of all odd digits if the same digit is not used more than once in the code?

Revolt · Accepted Answer

4,920 out of 5,040

Question 7

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 8

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.

Revolt · Accepted Answer

22%

Question 9

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 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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