# Worksheet: Experimental Probability

In this worksheet, we will practice interpreting a data set by finding and evaluating the experimental probability.

**Q2: **

The table shows the results of a survey that asked 20 students about their favorite breakfast.

Breakfast | Eggs | Cereal | Toast |
---|---|---|---|

Number of Students | 10 | 2 | 8 |

What is the probability that a randomly selected student prefers eggs?

- A
- B
- C
- D
- E

**Q4: **

A six-sided die contains the numbers 1 to 6. It was rolled 26 times and the number of times each value appeared is shown in the table. Find the experimental probability of rolling a 4.

Value | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|

Frequency | 8 | 4 | 4 | 2 | 5 | 3 |

- A
- B
- C
- D

**Q6: **

A boy flipped a coin 100 times, and he got heads 58 times. Calculate his experimental probability of getting heads while playing this game.

**Q7: **

The given fair spinner was spun 248 times. What is the expected number of times the pointer will land on the section labeled by the letter ?

**Q9: **

A fair die is rolled 136 times. Calculate the expected number of times a number greater than 3 is rolled.

**Q10: **

A fair die is rolled 150 times. What is the expected number of times for an odd number greater than 2 to be rolled?

**Q11: **

A fair die is rolled 150 times. What is the expected number of times for a number divisible by 3 to be rolled?

**Q12: **

A bag contains 9 blue, 5 red, 3 white, and 8 green marbles. If a marble is drawn at random and replaced 75 times, determine the expected number of times a green marble could be drawn.

**Q13: **

A game at a festival challenged people to throw a baseball through a tire. Of the first 68 participants, 3 people won the gold prize, 12 won the silver prize, and 15 won the bronze prize. What is the experimental probability of not winning any of the three prizes?

- A
- B
- C
- D
- E

**Q14: **

On an irregular die, the probability of rolling the number 1, 2, 3, 4, or 5 is equal. The probability of rolling a 6 is three times that of any other number. What is the probability of rolling the number 5?

- A
- B
- C
- D

**Q15: **

A die is rolled 750 times. What is the expected number of times for an even number that is greater than 1 to be rolled?

**Q16: **

What is the probability of getting heads when a fair coin is flipped?

- A
- B
- C1
- D0

**Q17: **

What is the probability of getting heads when a fair coin is flipped?

- A
- B1
- C
- D

**Q18: **

What is the probability of getting tails when a fair coin is flipped?

- A
- B0
- C
- D1

**Q19: **

If a coin is flipped once, what is the probability of getting a head?

- A
- B1
- C0
- D

**Q20: **

Which of the following sets represents the event of rolling two numbers which sum to 10 on two six-sided dice?

- A
- B
- C
- D
- E

**Q21: **

If a fair number cube, labeled with the numbers 1–6, is rolled 90 times, which result is most likely to occur?

- AThe number cube will land on a number larger than 4 about 15 times.
- BThe number cube will land on 6 about 30 times.
- CThe number cube will land on a prime number about 60 times.
- DThe number cube will land on an odd number about 45 times.

**Q23: **

Two fair dice are rolled. Which of the following represents the event of rolling two numbers which sum to 7?

- A
- B
- C
- D

**Q24: **

A die is rolled two consecutive times. Which of the following represents the event of rolling two numbers which have a difference of 2?

- A
- B
- C
- D

**Q25: **

A fair die is rolled twice. What is the probability of rolling two numbers which sum to an even number less than 4?

- A
- B
- C0
- D