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?

  • A 3 1 1 3
  • B 4 5 9 %
  • C 4 1 %
  • D1.6

Q2:

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

  • A1
  • B0
  • 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?

  • A1.3
  • B 0 . 7
  • C 1 4 %
  • D 1 9 7 %

Q8:

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

  • A1
  • BBetween 0 and 1
  • C0

Q9:

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

  • A 1 6
  • B1
  • C0
  • D 7 6

Q10:

What is the probability of day coming after night?

  • A1
  • B0
  • Cbetween 0 and 1

Q11:

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

  • A 1 3
  • B 1 2
  • C 1 6
  • D 1 4

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.

  • A 1 5
  • B 4 5
  • C0
  • D 2 3
  • E 2 5

Q13:

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

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

Q14:

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

  • A 7 9
  • B 7 8
  • C1
  • D 3 4

Q15:

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

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

Q16:

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

  • A 3 7
  • B 1 3
  • C 3 8
  • D 5 8

Q17:

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

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

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?

  • A 1 4
  • B 2 9
  • C 3 4
  • D 1 8

Q19:

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

  • A 3 8
  • B 4 9
  • C 5 8
  • D 1 2

Q20:

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

  • A 4 9
  • B 5 8
  • C 1 2
  • D 3 8

Q21:

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

  • A 1 9
  • B 1 3
  • C 2 9
  • D 2 3

Q22:

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

  • A 7 9 %
  • B 2 3 8 %
  • C1.8
  • D 9 9 5

Q23:

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

  • A 1 3
  • B0
  • C 5 6
  • D 1 6

Q24:

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

  • A 1 6
  • B 1 1 2
  • C 1 3
  • D 1 9

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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