Experimental and Theoretical (Simple and Compound) Jeopardy Honors

Experimental Theoretical Miscellaneous 100 100 100 200 200 200 300 300 300 400 400 400

Mr. Nguyen spins a spinner with 3 equal sections labeled A, B and C Mr. Nguyen spins a spinner with 3 equal sections labeled A, B and C. The results are recorded in the table below. If Mr. Nguyen spins the spinner one time, what is the theoretical probability that he will spin a triangle with an a?

Answer 1 3

Mr. Nguyen spins a spinner with 3 equal sections 50 times Mr. Nguyen spins a spinner with 3 equal sections 50 times. The results are recorded in the table below. Based on the data, what is the experimental probability that Mr. Nguyen will spin a C?

ANSWER 16 50 = 8 25

Mr. Nguyen spins a spinner with five equal sections 50 times Mr. Nguyen spins a spinner with five equal sections 50 times. The results are noted in the spinner shown below. What is the theoretical probability that Mr. Nguyen will spin a hexagon?

Answer 1 5

Mr. Nguyen spins a spinner with five equal sections 50 times Mr. Nguyen spins a spinner with five equal sections 50 times. The results are noted in the spinner shown below. Based on the data, what is the experimental probability that Mr. Nguyen will spin a hexagon?

Answer 8 50 = 4 25

Molly has a jar containing 4 yellow, 3 blue, 3 green, and 2 orange marbles. If Molly removes one marble without looking, records the color, and places the marble back in the jar before drawing again, what is the probability that she will remove two yellow marbles?

Answer 4 12 × 4 12 = 1 9

Each spinner shown below is divided into equal sections Each spinner shown below is divided into equal sections. Felix spins each spinner 30 times. He records the number of times each section is spun. Based on the results of the first 30 spins, what is the probability that Felix will spin a green and a F on the next spin?

Answer 8 30 × 5 30 = 40 900 = 2 45

Each spinner shown below is divided into equal sections Each spinner shown below is divided into equal sections. Felix spins each spinner 30 times. He records the number of times each section is spun. What is the theoretical probability that Felix will spin a green and a F?

Answer 1 4 × 1 6 = 1 24

For which of the following experiments would the results show in an experimental probability of 3 5 ? A coin is flipped 10 times. It lands on heads 6 times. Two number cubes are rolled 25 times. The sum of 6 appears 9 times. A number cube is rolled 30 times. A prime number appears 18 times. A number is randomly selected from a set of ten numbers, 1 to 10. The number three is selected. I only I, II, and III only I and III only I, II and IV only

Answer C. I and III only

Final Jeopardy During a school carnival, the student council booth has a quarter toss. A quarter is tossed in cups placed at varying distances to earn points. The more points earned, the bigger the prize won. The table shows the results from the booth within the first hour. What is the experimental probability that a participant receives 5 or 10 points on a toss?

Answer 8 48 = 1 6

On an overnight camping trip, Miles packs 3 pairs of shorts and 3 types of shirts. The diagrams below show the different possible clothing combinations. If Miles reaches into his bag without looking and removes one pair of shorts and one shirt, what is the probability he selects a pair of black shorts and a t-shirt?

Answer 1 3 × 1 3 = 1 9

Sammy conducts an experiment with three quarters Sammy conducts an experiment with three quarters. He counts the number of heads and tails for each flip of the three quarters. Sammy records the results in the table below. According to Sammy’s table, what is the probability of flipping two heads and a tail?

Answer 15 50 = 3 10

In a game, Billy must roll 2 dice In a game, Billy must roll 2 dice. One die is a standard six-sided number die, and the other die has a different color on each side (red, blue, green, orange, yellow, and purple). What is the probability that Billy rolls a 3 and a green?

Answer 1 6 × 1 6 = 1 36

Kennedi spins the spinner shown below twice Kennedi spins the spinner shown below twice. What is the probability that the spinner lands on an odd number both spins?

Answer 2 3 × 2 3 = 4 9