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

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

Question 1

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

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Question 2

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

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Question 3

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.

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Question 4

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.

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Question 5

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.

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Question 6

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

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Question 7

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.

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Question 8

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

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Question 9

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.

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Question 10

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.

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Question 11

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.

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Question 12

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.

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Question 13

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

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Question 14

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.

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Question 15

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.

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