Compare experimental and theoretical probability

Question 1

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

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

Question 2

A drawing pin is dropped 20 times. It lands point up 18 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 3

A die is rolled 180 times and lands on 4 exactly 33 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

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

• A. Both will be exactly 0.5
• B. Diego
• C. Noah

Question 5

A drawing pin is dropped 25 times. It lands point up 11 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 6

A die is rolled 60 times and lands on 4 exactly 12 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

Mei flips a coin 20 times and Hiro flips it 2000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Both will be exactly 0.5
• B. Hiro
• C. Mei

Question 8

A drawing pin is dropped 100 times. It lands point up 16 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 9

A die is rolled 180 times and lands on 4 exactly 23 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

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

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

Question 11

A drawing pin is dropped 50 times. It lands point up 40 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 12

A die is rolled 60 times and lands on 4 exactly 11 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

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

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

Question 14

A drawing pin is dropped 40 times. It lands point up 25 times. What is the experimental probability of landing point up? Give a fraction in simplest form.

Answer (as a fraction)

Question 15

A die is rolled 180 times and lands on 4 exactly 24 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

Ava flips a coin 20 times and Kai flips it 2000 times. Whose proportion of heads is likely to be closer to 0.5?

• A. Kai
• B. Ava
• C. Both will be exactly 0.5