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Single-event probability - MYP Questionbank | RevisionDojo

Practice Single-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

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

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 4

In a group of 30 people, 12 own a cat, 10 own a dog, and no one owns both. If one person is chosen at random, what is the probability they own neither a cat nor a dog?

Question 5

In the coin-flipping game between Peter and Eliott, what is the probability that Eliott wins on his second turn? This occurs if the first three flips (Peter, Eliott, Peter) are all Tails and the fourth flip (Eliott's second turn) is a Head.

Question 6

True or False: If three events $A$ , $B$ , and $C$ are mutually exclusive and cover the entire sample space $S$ , then their probabilities must sum to 1.

Question 7

In a sample space ${S}$ , if an event ${A}$ is such that the number of outcomes ${n(A)}$ is equal to the number of outcomes ${n(S)}$ , which of the following must be true?

Question 8

In a certain probability experiment, the probability of event $A$ occurring is exactly $3$ times the probability of its complement $A'$ .

What is the value of $P(A)$ ?

Question 9

If a sample space $S$ contains 12 equally likely outcomes, and the probability of the complement of event $A$ is $P(A') = \frac{1}{3}$ , what is the number of outcomes in event $A$ ?

Question 10

If two events $A$ and $B$ are defined such that $P(A \cup B) = P(A) + P(B)$ , what must be true about the relationship between $A$ and $B$ ?

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

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 4

In a group of 30 people, 12 own a cat, 10 own a dog, and no one owns both. If one person is chosen at random, what is the probability they own neither a cat nor a dog?

Question 5

Question 6

True or False: If three events $A$ , $B$ , and $C$ are mutually exclusive and cover the entire sample space $S$ , then their probabilities must sum to 1.

Question 7

In a sample space ${S}$ , if an event ${A}$ is such that the number of outcomes ${n(A)}$ is equal to the number of outcomes ${n(S)}$ , which of the following must be true?

Question 8

In a certain probability experiment, the probability of event $A$ occurring is exactly $3$ times the probability of its complement $A'$ .

What is the value of $P(A)$ ?

Question 9

If a sample space $S$ contains 12 equally likely outcomes, and the probability of the complement of event $A$ is $P(A') = \frac{1}{3}$ , what is the number of outcomes in event $A$ ?

Question 10

If two events $A$ and $B$ are defined such that $P(A \cup B) = P(A) + P(B)$ , what must be true about the relationship between $A$ and $B$ ?

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

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 4

In a group of 30 people, 12 own a cat, 10 own a dog, and no one owns both. If one person is chosen at random, what is the probability they own neither a cat nor a dog?

Question 5

Question 6

True or False: If three events $A$ , $B$ , and $C$ are mutually exclusive and cover the entire sample space $S$ , then their probabilities must sum to 1.

Question 7

In a sample space ${S}$ , if an event ${A}$ is such that the number of outcomes ${n(A)}$ is equal to the number of outcomes ${n(S)}$ , which of the following must be true?

Question 8

In a certain probability experiment, the probability of event $A$ occurring is exactly $3$ times the probability of its complement $A'$ .

What is the value of $P(A)$ ?

Question 9

If a sample space $S$ contains 12 equally likely outcomes, and the probability of the complement of event $A$ is $P(A') = \frac{1}{3}$ , what is the number of outcomes in event $A$ ?

Question 10

If two events $A$ and $B$ are defined such that $P(A \cup B) = P(A) + P(B)$ , what must be true about the relationship between $A$ and $B$ ?

Single-event probability Questionbank