Practice Events (Formal) in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A formal event is a subset of the sample space — a collection of outcomes to which a probability is assigned; events can be simple (one outcome) or compound (many outcomes).
An event is a question like 'Did I roll higher than 3?' that has yes/no answer.
Showing a random 20 of 50 problems.
Example 1
mediumTwo dice are rolled. Find .
Example 2
challengeRolling two dice, find by listing the favorable outcomes in the 36-outcome sample space.
Example 3
mediumFor a die, event . Describe its complement and find .
Example 4
mediumTwo events on a die are mutually exclusive: , . Find .
Example 5
easyA coin is flipped. List the sample space.
Example 6
mediumIf , , , find .
Example 7
hardIn a group of 30 students, 18 take Spanish, 14 take French, 6 take both. Find .
Example 8
easyFor a die, find .
Example 9
mediumThree coins are flipped. Find .
Example 10
easyWhat is the probability of the sample space itself?
Example 11
easyIs the empty set a valid event, and what is its probability?
Example 12
mediumA bag has 5 red and 3 blue marbles. Find .
Example 13
easyDrawing a card, the event 'a heart' has how many outcomes in a 52-card deck?
Example 14
mediumTwo events have , , and they are mutually exclusive. Find .
Example 15
easyA die is rolled. Find .
Example 16
mediumFrom a deck, draw one card. Find .
Example 17
easyRolling a die, the event 'even number' is which subset of the sample space?
Example 18
easyFor a die, is the event 'roll a 4' a simple or compound event?
Example 19
mediumRolling a die, and . List and find .
Example 20
mediumA spinner has sectors equally likely. Find .