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Worksheet: Experimental Probability

Q1:

One out of every six students in a seventh-grade class is left-handed. Which of the following could be used to find the experimental probability that we will get a left-handed student when choosing randomly?

  • AUsing a spinner with four colors: red represents right-handed, and yellow, blue, and green are left-handed.
  • BUsing a coin: heads is right-handed, and tails is left-handed.
  • CUsing a number cube: even numbers represent right-handed and odd numbers represent left-handed.
  • DUsing a number cube: landing on 1 represents left-handed, and landing on 2–6 represents right-handed.

Q2:

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 ?

  • A62
  • B248
  • C28
  • D31

Q3:

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

Q4:

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

  • A 1 2
  • B 8 9 1 7 5
  • C 172
  • D 8 6 1 7 5

Q5:

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?

Q6:

A coin was tossed 200 times and the number of tails observed was 102. Calculate the relative frequency of getting a heads. Round the answer to three decimal places.

Q7:

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 6 1 9
  • B 1 5 3 4
  • C 3 3 8
  • D 1 9 3 4
  • E 1 5 3 8

Q8:

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.

Q9:

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 an odd prime number?

  • A 1 3
  • B 3 8
  • C 1 2
  • D 1 4

Q10:

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.

  • A 1 3 6
  • B0
  • C1
  • D 3 5 3 6
  • E 1 1 8

Q11:

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 2 5
  • B 1 1 0
  • C 3 1 0
  • D 1 2
  • E 1 5

Q12:

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

Q13:

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

Q14:

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

  • A 𝐴 = { ( 4 , 3 ) , ( 5 , 2 ) , ( 6 , 1 ) }
  • B 𝐴 = { ( 1 , 6 ) , ( 2 , 5 ) , ( 3 , 4 ) }
  • C 𝐴 = { ( 1 , 6 ) , ( 2 , 5 4 ) , ( 3 , 3 ) , ( 3 , 4 ) , ( 5 , 2 ) , ( 6 , 1 ) }
  • D 𝐴 = { ( 1 , 6 ) , ( 2 , 5 ) , ( 3 , 4 ) , ( 4 , 3 ) , ( 5 , 2 ) , ( 6 , 1 ) }

Q15:

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

Q16:

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

  • A1
  • B 1 4
  • C0
  • D 1 2

Q17:

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

  • A 3 4
  • B 1 3
  • C1
  • D 1 2

Q18:

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

  • A0
  • B1
  • C 1 4
  • D 1 2

Q19:

The table shows the music preferences of a group of men and women.

County Music Rock Music
Women 13 24
Men 8 18

Calculate the relative frequency of a randomly selected person being a woman who prefers country music. If necessary, round your answer to 2 decimal places.

Calculate the relative frequency of a randomly selected woman preferring rock music. If necessary, round your answer to 2 decimal places.

Q20:

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

  • A1
  • B 1 4
  • C0
  • D 1 2

Q21:

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 𝐴 = { ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , 5 ) , ( 4 , 6 ) }
  • B 𝐴 = { ( 3 , 1 ) , ( 4 , 2 ) , ( 5 , 3 ) , ( 6 , 4 ) }
  • C 𝐴 = { ( 1 , 4 ) , ( 4 , 1 ) , ( 2 , 5 ) , ( 5 , 2 ) , ( 3 , 6 ) , ( 6 , 3 ) }
  • D 𝐴 = { ( 1 , 3 ) , ( 3 , 1 ) , ( 2 , 4 ) , ( 4 , 2 ) , ( 3 , 5 ) , ( 5 , 3 ) , ( 4 , 6 ) , ( 6 , 4 ) }

Q22:

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

Q23:

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.

Q24:

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

  • A0
  • B 1 1 2
  • C 7 1 8
  • D 1 3 6

Q25:

A fair dice is rolled twice. Which of the following represents the event of rolling two numbers which sum to less than or equal to 4?

  • A 𝐴 = { ( 1 , 1 ) , ( 1 , 2 ) , ( 2 , 1 ) }
  • B 𝐴 = { ( 3 , 1 ) , ( 1 , 3 ) , ( 2 , 2 ) }
  • C 𝐴 = { ( 1 , 1 ) , ( 1 , 2 ) , ( 1 , 3 ) , ( 2 , 1 ) , ( 3 , 1 ) }
  • D 𝐴 = { ( 1 , 1 ) , ( 1 , 2 ) , ( 1 , 3 ) , ( 2 , 1 ) , ( 2 , 2 ) , ( 3 , 1 ) }