Master Experimental Probability: Interactive Quizzes and Practice

Question 1

Which of the following events is least likely to occur?

Accepted Answer

Winning the lottery jackpot

Answer

Flipping a coin and getting heads

Answer

Drawing a specific card from a standard deck

Answer

Rolling a 6 on a standard die

Question 2

How can you increase the accuracy of an experimental probability estimate?

Accepted Answer

Conduct more trials

Answer

Use a biased object

Answer

Guess the outcome

Answer

Change the number of possible outcomes

Question 3

What is the role of bias in experimental probability?

Accepted Answer

Bias can make experimental probability less accurate.

Answer

Bias can make experimental probability more accurate.

Answer

Bias has no effect on experimental probability.

Answer

Bias only affects theoretical probability.

Question 4

You are rolling a six-sided die. What is the chance of rolling an even number?

Accepted Answer

1/2

Answer

1/3

Answer

2/3

Answer

1/4

Question 5

You roll two dice. What is the chance of rolling a sum greater than 7?

Accepted Answer

2/3

Answer

1/6

Answer

1/3

Answer

1/2

Question 6

You flip a coin 10 times and get heads 6 times. What's the experimental probability of getting tails?

Accepted Answer

0.6

Answer

0.4

Answer

0.7

Answer

0.9

Question 7

You have 5 red balls and 3 blue balls in a bag. What's the probability of choosing a blue ball?

Accepted Answer

0.3

Answer

0.2

Answer

0.4

Answer

0.5

Question 8

Which of these doesn't affect the probability of an event?

Accepted Answer

Personal preference

Answer

Sample size

Answer

Chance

Answer

Past results

Question 9

Which of these is a fair game?

Accepted Answer

A game where the probability of winning is the same for all players

Answer

A game where one player has an advantage

Answer

A game where the outcome is determined by chance

Answer

A game where one player always wins

Question 10

Which of the following is NOT a factor that can affect the accuracy of an experimental probability?

Accepted Answer

Theoretical knowledge

Answer

Sample size

Answer

Bias

Answer

Experimental method

Question 11

Which of the following is a reliable way to increase the accuracy of an experimental probability?

Accepted Answer

Increasing the sample size

Answer

Using a biased sample

Answer

Ignoring outliers

Answer

Relying on intuition

Question 12

You conduct an experiment where you flip a coin 50 times and get 28 heads. Based on your results, what is the experimental probability of getting tails?

Accepted Answer

0.44

Answer

0.5

Answer

0.56

Answer

0.72

Question 13

To calculate the experimental probability of an event accurately, which method should be used?

Accepted Answer

Conduct the experiment multiple times and calculate the ratio of successful outcomes to total trials.

Answer

Conduct the experiment only once and use the outcome as the probability.

Answer

Estimate the probability based on past occurrences of the event.

Answer

Use a mathematical formula to calculate the probability.

Question 14

Which of the following best defines experimental probability?

Accepted Answer

The chance of an event occurring based on the results of a real experiment

Answer

The chance of an event occurring based on a theoretical model

Answer

The chance of an event occurring based on intuition

Answer

The chance of an event occurring based on historical data

Question 15

Can experimental probability predict the exact outcome of a future event?

Accepted Answer

No

Answer

Yes

Question 16

Which of these factors does NOT affect the accuracy of experimental probability?

Accepted Answer

Previous knowledge of the outcome

Answer

Sample size

Answer

Representativeness of the sample

Answer

Fairness of the experiment

Question 17

Which of the following is a potential limitation of using experimental probability?

Accepted Answer

It can be influenced by random factors.

Answer

It provides a precise measure of probability.

Answer

It is always more accurate than theoretical probability.

Answer

It is easy to calculate for any event.

Question 18

You flip a coin 5 times and get heads 3 times. To make your estimate of the probability of getting heads more reliable, what additional information do you need?

Accepted Answer

The number of additional coin flips

Answer

The type of coin used

Answer

The temperature of the room

Question 19

In experimental probability, why is the concept of 'sample space' crucial?

Accepted Answer

It defines all possible outcomes of an experiment.

Answer

It determines the exact probability of a specific outcome.

Answer

It predicts the most likely outcome.

Answer

It's not important because probabilities can be estimated without it.

Question 20

Which of the following statements about experimental probability is correct?

Accepted Answer

It can be more accurate than theoretical probability with a large enough sample size.

Answer

It is always the same as theoretical probability.

Answer

It is only useful for complex events.

Answer

It is a precise measure of probability.

Question 21

Which of the following is a fair experiment?

Accepted Answer

Spinning a spinner with equally sized sectors

Answer

Flipping a coin that has been weighted

Answer

Rolling a dice that has been shaved on one side

Answer

Drawing cards from a deck that has been stacked

Question 22

What is the definition of experimental probability?

Accepted Answer

The likelihood of an event happening based on experiments we do

Answer

The likelihood of an event happening based on past events

Answer

The likelihood of an event happening based on a math equation

Answer

The likelihood of an event happening based on what we think will occur

Question 23

What is a fair experiment?

Accepted Answer

An experiment where all possible outcomes are equally likely

Answer

An experiment where the results are already known

Answer

An experiment where the results are not fair

Answer

An experiment where the sample size is very small

Question 24

What's the main difference between experimental and theoretical probability?

Accepted Answer

Experimental probability is based on actual experiments, while theoretical probability is based on math calculations

Answer

Theoretical probability is based on actual experiments, while experimental probability is based on math calculations

Answer

Experimental probability is always accurate, while theoretical probability is always an estimate

Answer

Theoretical probability is always accurate, while experimental probability is always an estimate

Question 25

You flip a coin 10 times and it lands on heads 7 times. What is the experimental probability of getting heads?

Accepted Answer

0.7

Answer

0.3

Answer

0.4

Answer

0.6

Question 26

A survey asks 200 students their favorite subject. 45% of the students choose Math. What is the experimental probability that a randomly selected student will choose Math?

Accepted Answer

0.45

Answer

0.045

Answer

0.225

Answer

1

Question 27

A fair 6-sided die is rolled. What is the theoretical probability of rolling a 4?

Accepted Answer

1/6

Answer

1/3

Answer

1/4

Answer

1/5

Question 28

In a class of 25 students, 10 students wear glasses. If a student is randomly selected, what is the experimental probability that the selected student wears glasses?

Accepted Answer

2/5

Answer

1/3

Answer

3/5

Answer

4/5

Question 29

Which of the following is NOT a factor that can affect the experimental probability of an event?

Accepted Answer

Theoretical probability

Answer

The number of trials

Answer

Randomness

Answer

Bias

Question 30

A survey of 100 students finds that 60 like apples and 40 like oranges. If a student is chosen randomly, what is the probability that they like neither apples nor oranges?

Accepted Answer

0.2

Answer

0.4

Question 31

In a dice-rolling experiment, the following outcomes were recorded: 4, 2, 6, 3, 5, 1, 2, 5, 6, 4. What is the experimental probability of rolling an even number?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

2/5

Question 32

Which of the following is a potential issue with experimental probability?

Accepted Answer

It can be influenced by bias or chance.

Answer

It is always less accurate than theoretical probability.

Answer

It can only be used for complex events.

Answer

It provides precise predictions.

Question 33

In an experiment, the probability of an event occurring was initially 1/4. After conducting more trials, the probability increased to 1/3. What can we conclude?

Accepted Answer

The event was more likely to occur in the later trials.

Answer

The experiment was biased.

Answer

The theoretical probability changed.

Answer

The sample size was too small.

Question 34

You roll a die 10 times and get the number 5 three times. What is the experimental probability of rolling a 5?

Accepted Answer

3/10

Answer

1/5

Answer

5/10

Answer

1/10

Question 35

You flip a coin 10 times and get 7 heads. What is the experimental probability of getting heads in this experiment?

Accepted Answer

7/10

Answer

1/2

Answer

3/10

Answer

1

Question 36

A spinner has 6 sections numbered 1 to 6. You spin the spinner 16 times and it lands on 3 seven times. What is the experimental probability of the spinner landing on 3?

Accepted Answer

7/16

Answer

1/6

Answer

1/2

Answer

6/16

Question 37

You roll a die 20 times and get a '4' seven times. What is the experimental probability of rolling a '4' in this experiment?

Accepted Answer

7/20

Answer

4/20

Answer

1/6

Answer

1/2

Question 38

A fair coin is flipped 100 times.  What is the expected experimental probability of getting heads?

Accepted Answer

1/2 or 0.5

Answer

1

Answer

3/4 or 0.75

Answer

1/4 or 0.25

Question 39

You spin a spinner 30 times to see how often it lands on 'red'. What's the best way to make your estimate of the probability of landing on 'red' more accurate?

Accepted Answer

Spin the spinner many more times.

Answer

None of the above

Answer

Change the color 'red' on the spinner.

Answer

Use a different spinner.

Question 40

Which of these is an experiment you could do to figure out the probability of rain?

Accepted Answer

Keep track of how many days it rains over a long time.

Answer

Flip a coin.

Answer

Ask people if they think it will rain.

Question 41

A bag has 4 green marbles, 3 blue marbles, and 2 red marbles. You pick a marble, put it back, and pick again. What's the probability of picking a green marble on the second try?

Accepted Answer

4/9

Answer

3/9

Answer

2/9

Question 42

A coin is flipped 20 times, and it lands on heads 12 times. What is the experimental probability of getting heads?

Accepted Answer

0.6

Answer

0.4

Answer

0.5

Answer

0.8

Question 43

A spinner has 4 equal sections: red, blue, green, and yellow. After spinning it 30 times, the spinner lands on blue 8 times. What is the experimental probability of landing on blue?

Accepted Answer

0.27

Answer

0.5

Answer

0.25

Answer

0.33

Question 44

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. A marble is drawn from the bag, its color is recorded, and it is put back in. This process is repeated 20 times. If the red marble is drawn 8 times, what is the experimental probability of drawing a red marble?

Accepted Answer

0.4

Answer

0.6

Answer

0.2

Answer

0.5

Question 45

A dice is rolled 10 times. The results are: 2, 5, 3, 1, 4, 6, 2, 3, 5, 1. What is the experimental probability of rolling an even number?

Accepted Answer

0.4

Answer

0.5

Answer

0.6

Answer

0.3

Question 46

A bag contains 4 red balls and 6 blue balls. You randomly select a ball from the bag, record its color, and put it back in. You repeat this process 25 times. Which of the following is the most likely outcome for the experimental probability of selecting a red ball?

Accepted Answer

Between 0.3 and 0.5

Answer

Less than 0.3

Answer

Greater than 0.5

Question 47

A coin is flipped 100 times. Which of the following is most likely to happen?

Accepted Answer

The experimental probability of getting heads will be close to 0.5

Answer

The experimental probability of getting heads will be exactly 0.5

Answer

The experimental probability of getting heads will be greater than 0.5

Question 48

A student rolls a dice 10 times and gets a 6 three times. What is the experimental probability of rolling a 6?

Accepted Answer

0.3

Answer

0.1

Answer

0.16

Answer

0.6

Question 49

A spinner has 6 equal sections numbered 1 to 6. After spinning it 20 times, the spinner lands on an odd number 12 times. What is the experimental probability of landing on an odd number?

Accepted Answer

0.6

Answer

0.3

Answer

0.4

Answer

0.5

Question 50

A student flips a coin 50 times and gets heads 28 times. Which of the following statements is true?

Accepted Answer

The experimental probability of getting heads is 0.56

Answer

The theoretical probability of getting heads is 0.56

Answer

The experimental probability of getting heads will always be 0.5