Question Type 2: Finding the set of outcomes that come under a certain event for a given experiment
Question Type 2: Finding the set of outcomes that come under a certain event for a given experiment Bootcamps
Question 1
Skill question
For the experiment of tossing a fair coin three times, let E be the event that exactly two heads occur. List the set of outcomes in E.
Question 2
Skill question
A fair coin and a fair six-sided die are used once each. Let M be the event that the coin shows heads and the die shows an even number. List all outcomes in M.
Question 3
Skill question
Two fair six-sided dice are rolled. Let H be the event that both dice show the same number (a double). List the outcomes in H.
Question 4
Skill question
A fair coin is tossed three times. Let F be the event that at least two heads occur. Determine the set of outcomes in F.
Question 5
Skill question
A fair die is rolled twice. Let V be the event that neither roll shows a 1. List the outcomes in V.
Question 6
Skill question
A fair coin is tossed four times. Let G be the event that exactly three tails occur. List the outcomes in G.
Question 7
Skill question
A single fair die is rolled twice. Let K be the event that the sum of the two rolls equals 7. List all outcomes in K.
Question 8
Skill question
In an experiment, a coin is tossed and a die is rolled. Let W be the event that the coin shows tail or the die shows a multiple of 3 (or both). List all outcomes in W.
Question 9
Skill question
Three fair six-sided dice are rolled. Let N be the event that exactly one die shows a 6. List the outcomes in N.
Question 10
Skill question
A spinner has faces numbered 1, 2, 3, and 4. It is spun twice. Let U be the event that the sum of the two results is at most 5. List all outcomes in U.
Question 11
Skill question
A bag contains 4 red balls and 3 blue balls. Two balls are drawn without replacement. Let Q be the event that both balls are red. List the outcomes in Q (use ordered pairs of colours).
Question 12
Skill question
A standard deck of 52 cards is shuffled and two cards are drawn without replacement. Let R be the event that both cards are aces. List all outcomes in R using unordered pairs.
Question 13
Skill question
A fair coin is tossed five times. Let P be the event that exactly three heads occur. Describe and list the outcomes in P (structure is enough).