Worksheet: Experimental Probability

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

Q1:

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.

Tails012
Number of Occurrences322816
  • A12
  • B419
  • C719
  • D1
  • E819

Q2:

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

BreakfastEggsCerealToast
Number of Students1028

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

  • A25
  • B310
  • C15
  • D110
  • E12

Q3:

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

  • A172
  • B89175
  • C86175
  • D12

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.

Value123456
Frequency844253
  • A213
  • B526
  • C113
  • D16

Q5:

A soft drinks factory produces 1,400 bottles a day. The factory tested a sample of 400 units and found that 6 were defective. By calculating the experimental probability that a bottle is defective, work out how many defective bottles would be expected in a day.

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 𝐹?

Q8:

A fair spinner has 8 equal sections, one of which is green. If the spinner is spun 56 times, what is the expected number of times it will stop on the green section?

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?

  • A1934
  • B338
  • C619
  • D1538
  • E1534

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?

  • A56
  • B18
  • C58
  • D16

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?

  • A14
  • B12
  • C1
  • D0

Q17:

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

  • A34
  • B1
  • C12
  • D13

Q18:

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

  • A14
  • B0
  • C12
  • D1

Q19:

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

  • A14
  • B1
  • C0
  • D12

Q20:

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

  • A{(4,6),(6,4),(5,5)}
  • B{(5,6),(6,4),(5,5)}
  • C{(4,4),(6,6),(5,5)}
  • D{(4,6),(6,4),(6,5)}
  • E{(4,6),(6,5),(5,5)}

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.

Q22:

Suppose you roll two number cubes, where each cube has the numbers 1, 2, 3, 4, 5, and 6 on its faces. Determine the probability that the sum of the two numbers rolled is less than 12.

  • A136
  • B118
  • C1
  • D3536
  • E0

Q23:

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

  • A𝐴={(4,3),(5,2),(6,1)}
  • B𝐴={(1,6),(2,5),(3,4)}
  • C𝐴={(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)}
  • D𝐴={(1,6),(2,54),(3,3),(3,4),(5,2),(6,1)}

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?

  • A𝐴={(1,4),(4,1),(2,5),(5,2),(3,6),(6,3)}
  • B𝐴={(1,3),(2,4),(3,5),(4,6)}
  • C𝐴={(1,3),(3,1),(2,4),(4,2),(3,5),(5,3),(4,6),(6,4)}
  • D𝐴={(3,1),(4,2),(5,3),(6,4)}

Q25:

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

  • A718
  • B136
  • C0
  • D112

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.