Compare experimental and theoretical probability

Question 1

A drawing pin is dropped 20 times. It lands point up 17 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 2

Tariq flips a coin 10 times and Aisha flips it 2000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Tariq
• B. Both will be exactly 0.5
• C. Aisha

Question 3

A die is rolled 120 times and lands on 4 exactly 22 times. How many 4s would you expect from a fair die? How many more or fewer did you get? Give (actual − expected).

Answer 

Question 4

A drawing pin is dropped 25 times. It lands point up 2 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 5

Yuki flips a coin 20 times and Isla flips it 1000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Both will be exactly 0.5
• B. Isla
• C. Yuki

Question 6

A die is rolled 300 times and lands on 4 exactly 57 times. How many 4s would you expect from a fair die? How many more or fewer did you get? Give (actual − expected).

Answer 

Question 7

A drawing pin is dropped 100 times. It lands point up 23 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 8

Priya flips a coin 10 times and Ben flips it 1000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Priya
• B. Both will be exactly 0.5
• C. Ben

Question 9

A die is rolled 180 times and lands on 4 exactly 26 times. How many 4s would you expect from a fair die? How many more or fewer did you get? Give (actual − expected).

Answer 

Question 10

A drawing pin is dropped 40 times. It lands point up 10 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 11

Daniel flips a coin 10 times and Elena flips it 2000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Both will be exactly 0.5
• B. Daniel
• C. Elena

Question 12

A die is rolled 600 times and lands on 4 exactly 87 times. How many 4s would you expect from a fair die? How many more or fewer did you get? Give (actual − expected).

Answer 

Question 13

A drawing pin is dropped 80 times. It lands point up 6 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 14

Ana flips a coin 10 times and Jamal flips it 500 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Both will be exactly 0.5
• B. Jamal
• C. Ana

Question 15

A die is rolled 60 times and lands on 4 exactly 9 times. How many 4s would you expect from a fair die? How many more or fewer did you get? Give (actual − expected).

Answer 

Question 16

A drawing pin is dropped 40 times. It lands point up 13 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)