Exercises for Question Type 2: Finding the set of outcomes under a given event for different experiments

Exercises for Question Type 2: Finding the set of outcomes under a given event for different experiments - IB

Written by official IB examiners

Question 1

Skill question

A fair coin is tossed three times. List the set of outcomes that correspond to the event of exactly two heads.

[2]

Question 2

Skill question

A fair coin is flipped four times. List the set of outcomes for the event that no two heads occur consecutively.

[3]

Question 3

Skill question

This question assesses the ability to identify and list outcomes in a sample space for events involving dependent trials (without replacement).

Two cards are drawn in order without replacement from a standard 52-card deck. List the set of ordered outcomes for the event that both cards are kings.

[3]

Question 4

Skill question

A coin is flipped twice and a fair die is rolled once. List the set of outcomes for the event that at least one tail appears in the coin flips and the die shows a 4.

[2]

Question 5

Skill question

Two digits are selected with replacement from the set ${1, 2, 3, 4, 5}$ , where the order of selection is important.

List the set of outcomes for the event that the sum of the two digits is even.

[3]

Question 6

Skill question

Four fair coins are flipped. List the set of outcomes for the event that exactly three tails appear.

[2]

Question 7

Skill question

A fair six-sided die is rolled twice. List the set of outcomes for the event that the sum of the two rolls is at least 10.

[2]

Question 8

Skill question

Two coins are tossed. List the set of outcomes for the event that at least one head appears.

[2]

Question 9

Skill question

A bag contains 5 red and 3 blue marbles. Two marbles are drawn one after the other without replacement. List the set of colour sequences for the event that exactly one red marble is drawn.

[2]

Question 10

Skill question

A coin is flipped once and a number is chosen from ${1, 2, 3}$ . List the set of outcomes for the event that the coin shows heads and the chosen number is odd.

[2]

Question 11

Skill question

A fair coin is tossed once and then a fair die is rolled. List the set of outcomes for the event that the coin shows heads and the die shows an even number.

[2]

Question 12

Skill question

Probability and sample spaces for discrete events.

A fair die is rolled three times. List the set of outcomes for the event that exactly two of the rolls show a 5.

[3]

Question 13

Skill question

Two fair dice are rolled. List the set of outcomes for the event that the product of the two rolls is even.

[3]

Question 14

Skill question

Two letters are drawn in order without replacement from the set ${A, E, B, C}$ . List the set of outcomes for the event that both letters drawn are vowels.

[2]

Question 15

Skill question

Probability and counting principles involving independent events and permutations.

A fair six-sided die is rolled three times. Determine the number of possible outcomes for the event that all three rolls show different faces.

[3]

IB Mathematics Applications & Interpretation Question Type 2: Finding the Set of Outcomes Under a Given Event for Different Experiments Exercises