# Worksheet: Finding and Comparing Experimental and Theoretical Probabilities

Q1:

What is the probability of rolling a number divisible by 5 on a fair die?

• A0
• B
• C
• D

Q2:

What is the probability of rolling an even number greater than 1 on a fair die?

• A
• B
• C
• D

Q3:

For a single roll of a die, find the probability of getting an even number.

• A
• B
• C
• D
• E

Q4:

Upon rolling a die once, determine the probability of getting a prime number.

• A
• B
• C1
• D

Q5:

A biased coin was tossed 350 times and the number of tails observed was 178. Calculate the relative frequency of getting heads.

• A
• B
• C 172
• D

Q6:

The table shows the results from a survey where 20 students from a school were asked to pick their favorite fruit from 3 options. By calculating the experimental probability that a student’s favorite fruit is an orange, calculate how many of the 400 students in the school, would choose an orange as their favorite.

 Fruit Number of Students Apple Banana Orange 10 2 8

Q7:

If a fair coin is flipped 1 308 times, how many times is it expected to land heads up?

• A684
• B659
• C650
• D656
• E624

Q8:

Two coins are tossed 76 times. The upper faces are observed, and the results are recorded in this table. Determine the experimental probability of getting two tails as a fraction in its simplest form.

 Tails Number of Occurrences 0 1 2 32 28 16
• A
• B
• C1
• D
• E

Q9:

In a festival, 28 of the first 68 people who played a dart throwing game won the top prize, and 7 people won a lesser prize. Given that the rest of the participants did not win any prizes, find the experimental probability of not winning.

• A
• B
• C
• D
• E

Q10:

The table shows the results of a survey that asked 100 people to vote for their favorite type of TV program.

 Drama Documentary Comedy News Sport 14 19 14 16 37

What is the probability that a randomly selected person prefers drama?

• A
• B
• C
• D

Q11:

The graph shows the results of an experiment in which a die was rolled 26 times. Find the experimental probability of rolling a 2. Give your answer as a fraction in its simplest form.

• A
• B
• C
• D
• E

Q12:

A box contains two colors of balls: red and white. There are 60 red balls in the box and 84 balls in total. What is the probability of selecting a white ball at random?

• A
• B
• C
• D

Q13:

A bag contains 30 colored marbles. The probability of choosing a white marble at random is . How many white marbles are in the bag?

• A10
• B2
• C18
• D12

Q14:

What is the expected number of tails when a fair coin is flipped 690 times?

• A357
• B339
• C327
• D346