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Sets, Logic and Probability - MYP Questionbank | RevisionDojo

Practice Sets, Logic and Probability with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Given the following probability values for mutually exclusive events $A$ and $B$ :

\text{P}(A) = 0.35, \quad \text{P}(B) = 0.45

Find $\text{P}(A \cup B)$ .

Question 2

As the number of trials in a probability simulation increases (e.g., from 10 to 10,000), what generally happens to the observed relative frequency of an event?

Question 3

Which of the following numbers is an element of the set of rational numbers ( $\mathbb{Q}$ ) but NOT an element of the set of integers ( $\mathbb{Z}$ )?

Question 4

A school survey categorizes students who play Football ( $F$ ) and Basketball ( $B$ ). Which set notation represents the group of students who play Football but do not play Basketball?

Question 5

If ${P(A) = 0.5}$ , ${P(B) = 0.4}$ , and ${P(A \cup B) = 0.9}$ , then events ${A}$ and ${B}$ must be:

Question 6

The set of all real numbers $x$ such that $x^2 = 2$ is represented in roster form as:

Question 7

If events $A$ and $B$ are known to be independent, which of the following formulas correctly calculates the probability of the union $P(A \cup B)$ ?

Question 8

A player rolls a fair 4-sided die (faces marked 1, 2, 3, 4). If they roll a 4, they win. If they roll 1, 2, or 3, they roll again.

What is the probability that they win exactly on their second roll?

Question 9

Which of the following set expressions is equivalent to $A \cup (B \cap A')$ ?

Question 10

If set $A$ is a subset of set $B$ , denoted as $A \subseteq B$ , which of the following must be true?

Type

Difficulty

Question 1

Given the following probability values for mutually exclusive events $A$ and $B$ :

\text{P}(A) = 0.35, \quad \text{P}(B) = 0.45

Find $\text{P}(A \cup B)$ .

Question 2

As the number of trials in a probability simulation increases (e.g., from 10 to 10,000), what generally happens to the observed relative frequency of an event?

Question 3

Which of the following numbers is an element of the set of rational numbers ( $\mathbb{Q}$ ) but NOT an element of the set of integers ( $\mathbb{Z}$ )?

Question 4

A school survey categorizes students who play Football ( $F$ ) and Basketball ( $B$ ). Which set notation represents the group of students who play Football but do not play Basketball?

Question 5

If ${P(A) = 0.5}$ , ${P(B) = 0.4}$ , and ${P(A \cup B) = 0.9}$ , then events ${A}$ and ${B}$ must be:

Question 6

The set of all real numbers $x$ such that $x^2 = 2$ is represented in roster form as:

Question 7

If events $A$ and $B$ are known to be independent, which of the following formulas correctly calculates the probability of the union $P(A \cup B)$ ?

Question 8

A player rolls a fair 4-sided die (faces marked 1, 2, 3, 4). If they roll a 4, they win. If they roll 1, 2, or 3, they roll again.

What is the probability that they win exactly on their second roll?

Question 9

Which of the following set expressions is equivalent to $A \cup (B \cap A')$ ?

Question 10

If set $A$ is a subset of set $B$ , denoted as $A \subseteq B$ , which of the following must be true?

Type

Difficulty

Question 1

Given the following probability values for mutually exclusive events $A$ and $B$ :

\text{P}(A) = 0.35, \quad \text{P}(B) = 0.45

Find $\text{P}(A \cup B)$ .

Question 2

As the number of trials in a probability simulation increases (e.g., from 10 to 10,000), what generally happens to the observed relative frequency of an event?

Question 3

Which of the following numbers is an element of the set of rational numbers ( $\mathbb{Q}$ ) but NOT an element of the set of integers ( $\mathbb{Z}$ )?

Question 4

A school survey categorizes students who play Football ( $F$ ) and Basketball ( $B$ ). Which set notation represents the group of students who play Football but do not play Basketball?

Question 5

If ${P(A) = 0.5}$ , ${P(B) = 0.4}$ , and ${P(A \cup B) = 0.9}$ , then events ${A}$ and ${B}$ must be:

Question 6

The set of all real numbers $x$ such that $x^2 = 2$ is represented in roster form as:

Question 7

If events $A$ and $B$ are known to be independent, which of the following formulas correctly calculates the probability of the union $P(A \cup B)$ ?

Question 8

A player rolls a fair 4-sided die (faces marked 1, 2, 3, 4). If they roll a 4, they win. If they roll 1, 2, or 3, they roll again.

What is the probability that they win exactly on their second roll?

Question 9

Which of the following set expressions is equivalent to $A \cup (B \cap A')$ ?

Question 10

If set $A$ is a subset of set $B$ , denoted as $A \subseteq B$ , which of the following must be true?

Sets, Logic and Probability Questionbank