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Theoretical and Experimental Probability

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

If you flip a coin 100 times and it lands on heads 45 times, what is the experimental probability of getting heads?

a)

0.25

b)

0.45

c)

0.50

d)

0.60

2.

What is Theoretical Probability?

a)

The likelihood of an event happening based on all possible outcomes.

b)

The probability of an event based on past occurrences.

c)

The chance of an event happening in a specific situation.

d)

The probability that is calculated using only experimental data.

3.

What does it mean if an event has a probability of 1?

a)

It means the event is certain to occur.

b)

It means the event is unlikely to occur.

c)

It means the event will never occur.

d)

It means the event has an equal chance of occurring or not.

4.

If a die is rolled, what is the theoretical probability of rolling an even number?

a)

1/3

b)

1/4

c)

1/2

d)

2/3

5.

What does it mean if an event has a probability of 0?

a)

It means the event is impossible and will not occur.

b)

It means the event is certain to occur.

c)

It means the event is likely to occur.

d)

It means the event has an equal chance of occurring or not occurring.

6.

If a spinner is divided into 4 equal sections: red, blue, green, and yellow, what is the theoretical probability of landing on blue?

a)

1/2

b)

1/3

c)

1/4

d)

1/5

7.

What is the formula for calculating experimental probability?

a)

Experimental Probability = (Number of times the event occurs) / (Total number of trials)

b)

Experimental Probability = (Total number of trials) / (Number of times the event occurs)

c)

Experimental Probability = (Number of times the event does not occur) / (Total number of trials)

d)

Experimental Probability = (Number of successful outcomes) / (Total possible outcomes)

8.

What is a sample space?

a)

A sample space is the set of all possible outcomes of a probability experiment.

b)

A sample space is a collection of all the events that can occur in a probability experiment.

c)

A sample space is the average of all outcomes in a probability experiment.

d)

A sample space is a method to calculate probabilities.

9.

What is the difference between theoretical and experimental probability?

a)

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from experiments.

b)

Theoretical probability is always higher than experimental probability.

c)

Experimental probability is calculated using only theoretical models.

d)

Theoretical probability is based on past data, while experimental probability is based on future predictions.

10.

What is Experimental Probability?

a)

The probability of an event based on theoretical calculations.

b)

The likelihood of an event happening based on the results of an actual experiment.

c)

The chance of an event occurring in a perfect world scenario.

d)

The probability determined by historical data alone.

11.

What is a favorable outcome?

a)

An outcome that is considered successful for the event being measured.

b)

An outcome that is always negative and disappointing.

c)

An outcome that has no impact on the event being measured.

d)

An outcome that is irrelevant to the event being measured.

12.

What is the importance of conducting experiments in probability?

a)

It helps to understand the actual outcomes and compare them with theoretical predictions.

b)

It eliminates the need for theoretical models.

c)

It guarantees accurate results every time.

d)

It is only useful for large sample sizes.

13.

How do you calculate Theoretical Probability?

a)

Theoretical Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

b)

Theoretical Probability = (Total number of possible outcomes) / (Number of favorable outcomes).

c)

Theoretical Probability = (Number of outcomes) x (Probability of each outcome).

d)

Theoretical Probability = (Number of favorable outcomes) + (Total number of possible outcomes).

14.

If a spinner has 5 equal sections numbered 1 to 5, what is the theoretical probability of landing on a 5?

a)

1/5

b)

1/4

c)

1/3

d)

1/2

15.

In a bag with 4 green marbles, 3 red marbles, 2 blue marbles, and 1 yellow marble, what is the theoretical probability of pulling a red marble?

a)

1/5

b)

3/10

c)

1/3

d)

2/5