Experimental Probability study island

Brian and Hank are each rolling a fair 6-sided die with the numbers 1 through 6. They are trying to see who can roll a number 6 the most times. Their rolls are shown in the given tables. Brian Hank Roll Number 1 2 3 4 Roll Number 1 2 3 4 5 6 7 8 Roll Number 9 10 11 12 13 14 15 16 Whose experimental probability is closer to the theoretical probability of rolling a 6? A. Hank's B. neither Hank's nor Brian's C. They are the same. D. Brian's

A. Hank's

Megan tells her friends that if she spins the arrow shown, it is a fact that the arrow will land on the purple section. Is she right? A. No, because although it is probable the arrow will land in the purple section, it is not fact. B. Yes, because probability is fact, the arrow will land on the purple section. C. No, because the arrow will land on a green section 50% of the time and a purple section 50% of the time. D. Yes, because it is a fact that the arrow will land on the largest area, which is the purple section.

A. No, because although it is probable the arrow will land in the purple section, it is not fact.

Candice is spinning a spinner that is divided into 7 equal pieces. On the spinner, 1 of the pieces is green, 2 of the pieces are purple, 3 of the pieces are orange, and 1 of the pieces is black. When spinning the spinner, she expects to land on purple 2/7 of the time. She spins the spinner fourteen times and records the results in the chart below. Green Purple Orange Black Which statement best explains why the results of her experiment did not match her expectations? A. She did not spin the spinner enough times. B. She spun the spinner too many times. C. She should have had other people spin the spinner. D. She really should not be able to spin purple 2/7 of the time.

A. She did not spin the spinner enough times.

Kyle has an 6-sided die. On the die, 1 of the sides is labeled with a star, 2 of the sides are labeled with a heart, and 3 of the sides are labeled with a diamond. When rolling the die, he expects to land on a heart of the time. He rolls the die twelve times and records the results in the chart below. Star Heart Diamond Which statement best explains why the results of his experiment did not match his expectations? A. He rolled the die too many times. B. He did not roll the die enough times. C. He should have taken turns rolling the die with someone else. D. He really should not have been able to landed on a heart of the time.

B. He did not roll the die enough times.

Steve has a spinner with four equal-sized sections with a different color on each section. He spins the spinner and after each spin records the color. His results are recorded below. Color Number of times spun red white blue green What is the experimental probability that the next time he spins the spinner he will land on red? A. B. C. D.

B. 7/23

Eden spun the above spinner 12 times, and recorded the results in the table below. Spin Result Spin Result Spin Result 1 4 5 6 9 1 2 7 6 3 10 4 3 1 7 2 11 7 4 8 8 4 12 10 What is the experimental probability of spinning a 2? A. B. C. D.

1/12

Students drew one marble at a time from a box of marbles. The marbles were replaced after each draw. Students recorded the results of 25 draws in the table below. Marble Draw Results Draw Color Draw Color Draw Color Draw Color Draw Color 1 green 6 purple 11 red 16 green 21 green 2 blue 7 red 12 green 17 red 22 green 3 green 8 red 13 purple 18 blue 23 purple 4 purple 9 blue 14 green 19 green 24 green 5 red 10 green 15 red 20 green 25 red What is the experimental probability of drawing each of the four colors? A. P(green) = 3/25 P(red) = 4/25 P(purple) = 7/25 P(blue) = 11/25 B. P(green) = 3/25 P(red) = 4/25 P(blue) = 7/25 P(purple) = 11/25 C. P(blue) = 3/25 P(purple) = 4/25 P(red) = 7/25 P(green) = 11/25 D. P(blue) = 3/25 P(purple) = 4/25 P(green) = 7/25 P(red) = 11/25

C. P(blue) = 3/25 P(purple) = 4/25 P(red) = 7/25 P(green) = 11/25

Mrs. Barnett has 20 students in her last class of the day. Of the students, there are 5 girls and 15 boys. When picking students at random, she expects to pick a girl 1/4 of the time. She records her random student selection over a week in the chart shown below. Boys Girls Which statement best explains why the results of her experiment did not match her expectations? A. She should have only recorded her selections over one day. B. She randomly selected too many students. C. She did not randomly select enough students. D. She really should not be able to randomly select a girl 1/4 of the time.

C. She did not randomly select enough students.

James does an experiment in which he spins a spinner and rolls a die. The spinner has 7 sections, labeled 1 to 7, and the die has 6 sides, labeled 1 to 6. The results of James' experiment are recorded in the histogram below. Based on the information in the graph, what is the experimental probability that the next spin and roll will have a sum of 8 to 10? A. B. C. D.

C. 11/28

For this problem, any non-integer answers should be entered as fractions in simplest form using / as the fraction bar(s). A spinner has five colored sections of different sizes. Felicia spins the arrow on the spinner and records the color of the section it lands on in the table below. Color Frequency Red 11 Green 2 Yellow 12 Blue 15 Orange 20 Complete the statements based on the given table. The experimental probability of landing on orange is -. The experimental probability of landing on - is . The experimental probability of landing on a color that is not blue is - .

[] 1/3 []Yellow []3/4