Combined-event probability - MYP Questionbank | RevisionDojo

Combined-event probability Questionbank

Practice Combined-event 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

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 2

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

Question 3

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 4

Which of the following statements best describes the concept of conditional probability $P(A|B)$ ?

Question 5

Suppose $P(A) = 0.8$ and $P(B) = 0.2$ . If the probability of their intersection is $P(A \cap B) = 0.16$ , what can be concluded about events $A$ and $B$ ?

Question 6

Suppose that events $A$ and $B$ are mutually exclusive. If $P(A) = 0.35$ and $P(B) = 0.45$ , calculate the probability that neither event $A$ nor event $B$ occurs, $P(A' \cap B')$ .

Question 7

If event $A$ is a subset of event $B$ (meaning every outcome in $A$ is also in $B$ ), which of the following expressions correctly represents $P(A|B)$ ?

Question 8

A three-stage experiment is modeled using a tree diagram. In each stage, there are $3$ possible outcomes. How many terminal nodes (final paths) will the completed tree diagram have?

Question 9

If two events $A$ and $B$ satisfy the condition $P(A) + P(B) > 1$ , which of the following statements must be true?

Question 10

True or False: If ${P(A|B) = P(A)}$ , it implies that knowing event ${B}$ has occurred does not change the probability of event ${A}$ occurring.

Type

Difficulty

Question 1

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 2

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

Question 3

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 4

Which of the following statements best describes the concept of conditional probability $P(A|B)$ ?

Question 5

Suppose $P(A) = 0.8$ and $P(B) = 0.2$ . If the probability of their intersection is $P(A \cap B) = 0.16$ , what can be concluded about events $A$ and $B$ ?

Question 6

Suppose that events $A$ and $B$ are mutually exclusive. If $P(A) = 0.35$ and $P(B) = 0.45$ , calculate the probability that neither event $A$ nor event $B$ occurs, $P(A' \cap B')$ .

Question 7

If event $A$ is a subset of event $B$ (meaning every outcome in $A$ is also in $B$ ), which of the following expressions correctly represents $P(A|B)$ ?

Question 8

A three-stage experiment is modeled using a tree diagram. In each stage, there are $3$ possible outcomes. How many terminal nodes (final paths) will the completed tree diagram have?

Question 9

If two events $A$ and $B$ satisfy the condition $P(A) + P(B) > 1$ , which of the following statements must be true?

Question 10

True or False: If ${P(A|B) = P(A)}$ , it implies that knowing event ${B}$ has occurred does not change the probability of event ${A}$ occurring.

Type

Difficulty

Question 1

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 2

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

Question 3

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 4

Which of the following statements best describes the concept of conditional probability $P(A|B)$ ?

Question 5

Suppose $P(A) = 0.8$ and $P(B) = 0.2$ . If the probability of their intersection is $P(A \cap B) = 0.16$ , what can be concluded about events $A$ and $B$ ?

Question 6

Suppose that events $A$ and $B$ are mutually exclusive. If $P(A) = 0.35$ and $P(B) = 0.45$ , calculate the probability that neither event $A$ nor event $B$ occurs, $P(A' \cap B')$ .

Question 7

If event $A$ is a subset of event $B$ (meaning every outcome in $A$ is also in $B$ ), which of the following expressions correctly represents $P(A|B)$ ?

Question 8

A three-stage experiment is modeled using a tree diagram. In each stage, there are $3$ possible outcomes. How many terminal nodes (final paths) will the completed tree diagram have?

Question 9

If two events $A$ and $B$ satisfy the condition $P(A) + P(B) > 1$ , which of the following statements must be true?

Question 10

True or False: If ${P(A|B) = P(A)}$ , it implies that knowing event ${B}$ has occurred does not change the probability of event ${A}$ occurring.

Type

Difficulty

Question 1

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 2

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

Question 3

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 4

Which of the following statements best describes the concept of conditional probability $P(A|B)$ ?

Question 5

Suppose $P(A) = 0.8$ and $P(B) = 0.2$ . If the probability of their intersection is $P(A \cap B) = 0.16$ , what can be concluded about events $A$ and $B$ ?

Question 6

Suppose that events $A$ and $B$ are mutually exclusive. If $P(A) = 0.35$ and $P(B) = 0.45$ , calculate the probability that neither event $A$ nor event $B$ occurs, $P(A' \cap B')$ .

Question 7

If event $A$ is a subset of event $B$ (meaning every outcome in $A$ is also in $B$ ), which of the following expressions correctly represents $P(A|B)$ ?

Question 8

A three-stage experiment is modeled using a tree diagram. In each stage, there are $3$ possible outcomes. How many terminal nodes (final paths) will the completed tree diagram have?

Question 9

If two events $A$ and $B$ satisfy the condition $P(A) + P(B) > 1$ , which of the following statements must be true?

Question 10

True or False: If ${P(A|B) = P(A)}$ , it implies that knowing event ${B}$ has occurred does not change the probability of event ${A}$ occurring.