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Theoretical & Experimental Probability

Total questions: 30

Worksheet time: 58mins

Name
Class
Date
1.

Describe what EXPERIMENTAL PROBABILITY is.

a)

What DID happen during the experiment

b)

What SHOULD happen in an experiment

2.

Describe what THEORETICAL PROBABILITY is.

a)

What DID happen in an experiment

b)

What SHOULD happen in an experiment

3.

Which table shows an experimental probability of landing on tails that is closest to the theoretical probability of landing on tails?

a)
b)
c)
d)
4.

Determine the type of probability:

The probability of flipping tails is 1/2, or 50%, since the sides of a coin have 1 tails and 1 heads.

a)

Theoretical Probability

b)

Experimental Probability

5.
a)
b)
c)
d)
6.

A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matched its theoretical probability?

a)

1

b)

2

c)

3

d)

4

e)

5

7.

Determine the type of probability:

A spinner has 4 equal-sized spaces labeled A, B, C, and D.

The chance of landing in any of the spaces is 1/4, or 25%.

a)

Theoretical Probability

b)

Experimental Probability

8.

3) The spinner has 4 sections of equal size labeled T, V, W, and X. The arrow of this spinner was spun 10 times and landed 6 times on the section labeled T.

Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled T?

a)

The experimental probability is 1/4, and the theoretical probability is 3/5.

b)

The experimental probability is 3/5, and the theoretical probability is 1/4.

c)

The experimental probability is 3/5, and the theoretical probability is 3/5.

d)

The experimental probability is 1/4, and the theoretical probability is 1/4.

9.

If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

a)

The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10

b)

The theoretical probability of landing on 11 is 12.5% while the experimental probability of landing on 11 is 30%

c)

The experimental probability of landing on 11 is less than the theoretical probability of landing on 11

d)

The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11

10.

Choose the statement that is true about the experimental and theoretical probability of rolling a number cube 20 times.

a)

The experimental probability of rolling 3 is 16.6% and the theoretical probability is 15%

b)

The experimental probability of rolling 3 is 15% and the theoretical probability is 16.6%

c)

The experimental probability of rolling 1 is greater than the theoretical probability

d)

The experimental probability of rolling 6 is 16.6% and the theoretical probability of rolling 6 is 25%

11.

Determine the type of probability:

Damon flipped a coin 50 times and got 31 heads.

Based on the results, the probability of heads is 31/50, or 62%.

a)

Theoretical Probability

b)

Experimental Probability

12.

10) A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matched its theoretical probability?

a)

1

b)

2

c)

3

d)

4

e)

5

13.

Determine the type of probability:

Jane rolled a regular number cube 25 times.

Since she rolled an EVEN number 11 times, the probability of EVEN numbers is 11/25, or 44%.

a)

Theoretical Probability

b)

Experimental Probability

14.

2) A fair number cube (6 sides) was rolled 20 times. The number 4 was rolled 6 times.

Which statement best describes the experimental probability and theoretical probability of the fair number cube landing on a 4?

a)

The experimental probability of 3/10 is greater than the theoretical probability of 1/6.

b)

The experimental probability of 1/6 is greater than the theoretical probability of 3/10.

c)

The experimental probability and theoretical probability are both 1/5 and equal.

d)

The experimental probability of 3/10 is less than the theoretical probability of 1/6

15.

What is the theoretical probability that an even number will be rolled on a number cube?

a)

1/3

b)

1/2

c)

2/3

d)

1/6

16.

What was the experimental probability of how many times an even number was actually rolled using the table?

a)

2/3

b)

5/7

c)

5/12

d)

1/2

17.

If you roll a number cube 36 times, how many times would you expect to roll the number one?

a)

1

b)

6

c)

8

d)

18

18.

How many times was the number one rolled in the experiment?

a)

1

b)

6

c)

8

d)

18

19.

What is the theoretical probability for rolling a number greater than 4?

a)

1/6

b)

1/3

c)

1/2

d)

2/3

20.

What was the experimental probability of rolling a number greater than 4?

a)

1/9

b)

1/6

c)

4/9

d)

5/18

21.

What is the difference between theoretical and experimental probability?

a)

Experimental Probability is what should happen while Theoretical Probability is what does happen.

b)

Theoretical Probability is what should happen while Experimental Probability is what does happen.

c)

There is no difference.

d)

One is a fraction and one is a decimal.

22.

You plant 30 African violet seeds and 9 of them sprout. Use experimental probability to predict how many will sprout if you only plant 20 seeds?

a)

6

b)

11

c)

18

d)

21

23.

What type of probability is a way of estimating the probability of an event happening based on repeated trials?

a)

Experimental Probabillity

b)

Theoretical Probability

24.

What type of probability is used to find the probability of an event when all outcomes are equally as likely. "What COULD happen"

a)

Experimental Probability

b)

Theoretical Probability

25.

Theoretical P(Green or Red)

a)

2/6

b)

1/5

c)

2/5

d)

1/5

26.

Theoretical P(Even #)

a)

1/3

b)

1/2

c)

3/6

d)

2/6

27.

Theoretical P(Odd #)

a)

2/3

b)

4/9

c)

7/10

d)

1/2

28.

The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?

a)
b)
c)
d)
29.

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

a)

1

b)

2

c)

3

d)

4

e)

5

30.

The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?

a)
b)
c)
d)