A fair coin is tossed three times. List the set of outcomes that correspond to the event of exactly two heads.
[2]A fair coin is flipped four times. List the set of outcomes for the event that no two heads occur consecutively.
[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.
[3]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]Two digits are selected with replacement from the set , 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]Four fair coins are flipped. List the set of outcomes for the event that exactly three tails appear.
[2]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]Two coins are tossed. List the set of outcomes for the event that at least one head appears.
[2]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]A coin is flipped once and a number is chosen from . List the set of outcomes for the event that the coin shows heads and the chosen number is odd.
[2]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]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]Two fair dice are rolled. List the set of outcomes for the event that the product of the two rolls is even.
[3]Two letters are drawn in order without replacement from the set . List the set of outcomes for the event that both letters drawn are vowels.
[2]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]