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Lesson Worksheet: Experimental Probability Mathematics

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

Q1:

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

BreakfastEggsCerealToast
Number of Students 10 2 8

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

  • A25
  • B310
  • C15
  • D110
  • E12

Q2:

A light bulb manufacturer examined a sample of 1,000 light bulbs from their production. Using the table which shows the results for this sample, calculate the experimental probability that a light bulb fails after less than 150 hours of use.

𝐻 (Hours of Use)𝐻<150150𝐻<400400𝐻<1,000𝐻1,000
Number of Lamps 150 320 270 260
  • A320
  • B27100
  • C825
  • D47100
  • E1720

Q3:

A survey of 92 people found that 55 people support Team A, 30 people support Team B, and 7 people support neither. What is the probability that a person supports Team A?

  • A5582
  • B792
  • C5592
  • D1546
  • E55102

Q4:

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.

  • A413
  • B16
  • C15
  • D13
  • E120

Q5:

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

Calculate the relative frequency of a randomly selected person being a woman who prefers country music. If necessary, round your answer to 3 decimal places.

Calculate the relative frequency of a randomly selected woman preferring rock music. If necessary, round your answer to 3 decimal places.

Q6:

A number cube is rolled 127 times. The results are recorded in the following table. What is the experimental probability of rolling a number greater than 4?

Number123456
Occurrences 21 21 14 29 15 27
  • A42127
  • B21127
  • C71127
  • D56127
  • E29127

Q7:

The experimental probability that a coin lands on heads is 47. If the coin landed on tails 30 times, how many times was it tossed in the experiment?

Q8:

Isabella creates a three-sided spinner using the colors red, green, and blue. She spins the spinner and records the following results:

{red, blue, red, green, green, green, red, red, red, green}.

Calculate the experimental probability of spinning green on this spinner.

  • A110
  • B25
  • C12
  • D15
  • E45

Q9:

A store receives a box of apples from an orchard. A worker inspects a sample of 54 apples from the box. Of these apples, 6 are spoiled. Use this data to estimate the probability that an apple received from the orchard is spoiled.

  • A113
  • B16
  • C154
  • D19
  • E29

Q10:

In probability, what is an experiment defined as?

  • Athe set of all possible outcomes of an activity
  • Ba repeatable process, or activity, with a number of possible outcomes
  • Ca collection of one or more possible outcomes from an activity, which can be described as having certain characteristics

This lesson includes 27 additional questions and 252 additional question variations for subscribers.

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