Worksheet: Introduction to Probability

In this worksheet, we will practice using probability terms and axioms to understand the concept of probability.

Q1:

Which of the following may be the probability of an event occurring?

  • A3113
  • B459%
  • C1.6
  • D41%

Q2:

What is the probability of a student riding a bike to school?

  • A0
  • B1
  • CBetween 0 and 1

Q3:

What is the probability of a certain event?

Q4:

Given that represents the empty set, what is the value of 𝑃()?

Q5:

Let 𝑆 denote the sample space of a random experiment. Find 𝑃(𝑆).

Q6:

What is the sum of the probabilities of all of the outcomes in a random experiment?

Q7:

Which of the following choices may represent the probability of an event occurring?

  • A0.7
  • B197%
  • C14%
  • D1.3

Q8:

What is the probability of a family visiting the beach in a given year?

  • A0
  • BBetween 0 and 1
  • C1

Q9:

What is the probability of rolling a number divisible by 7 on a regular dice?

  • A0
  • B16
  • C76
  • D1

Q10:

What is the probability of day coming after night?

  • A0
  • B1
  • Cbetween 0 and 1

Q11:

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

  • A13
  • B16
  • C12
  • D14

Q12:

Each section on this spinner is equally likely to be chosen. What is the probability of the arrow landing on the number 4? Give your answer as a fraction in the simplest form.

  • A45
  • B15
  • C25
  • D0
  • E23

Q13:

What is the probability of the pictured spinner stopping on a section which is red?

  • A18
  • B38
  • C14
  • D12

Q14:

What is the probability of the arrow landing on a section numbered by a perfect square when the given fair spinner is spun?

  • A1
  • B34
  • C78
  • D79

Q15:

What is the probability that the pointer lands on a red section when the given fair spinner is spun?

  • A14
  • B38
  • C18
  • D12

Q16:

What is the probability of the pointer landing on a prime number when the given spinner is spun?

  • A38
  • B58
  • C13
  • D37

Q17:

What is the probability that the pointer stops on a green section when the given fair spinner is spun?

  • A14
  • B18
  • C38
  • D12

Q18:

What is the probability that the pointer lands on a section numbered by a factor of 7 when the given fair spinner is spun?

  • A18
  • B29
  • C14
  • D34

Q19:

What is the probability that the pointer lands on a number greater than 11 when the given fair spinner is spun?

  • A12
  • B38
  • C58
  • D49

Q20:

What is the probability that the arrow stops on a red section when the pictured fair spinner is spun?

  • A12
  • B38
  • C58
  • D49

Q21:

A spinner has 9 equal sections labeled from 1 to 9. Determine the probability of the pointer landing on 3.

  • A23
  • B13
  • C19
  • D29

Q22:

Which of the following may be the probability of an event occurring?

  • A995
  • B238%
  • C1.8
  • D79%

Q23:

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

  • A0
  • B16
  • C13
  • D56

Q24:

A fair die is rolled two consecutive times. What is the probability of getting a 1 on the first roll?

  • A13
  • B16
  • C112
  • D19

Q25:

What is the probability of getting at least one double (e.g. two ones) from two 6-sided dice, after rolling them 5 times?

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