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
  • C58
  • D18
  • E12

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:

A box contains colored balls: red, green, blue, and yellow. If the box contains 12 green balls, where the probability of drawing one of them randomly is 16, what is the total number of the balls in the box?

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