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

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

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

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 head and the chosen number is odd.

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 head and the die shows an even number.

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

Two digits are selected with replacement from $\{1,2,3,4,5\}$, order matters. List the set of outcomes for the event that the sum of the digits is even.

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.

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.

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.

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

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

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

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.

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.

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