Mutually Exclusive Events Worksheet
Explore and understand mutually exclusive events in probability with this comprehensive worksheet for Grade 11 students, featuring definitions, examples, and practice problems.
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Mutually Exclusive Events
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
Mutually exclusive events are events that cannot occur at the same time. If two events are mutually exclusive, the probability of them both occurring is 0. The Addition Rule for Mutually Exclusive Events states: P(A or B) = P(A) + P(B).
1. Which of the following pairs of events are mutually exclusive when rolling a single die?
Rolling an even number and rolling a number greater than 3
Rolling an odd number and rolling a number less than 4
Rolling a 2 and rolling a 5
Rolling a number divisible by 3 and rolling an even number
2. If events A and B are mutually exclusive, then P(A and B) = .
3. If P(A) = 0.4 and P(B) = 0.3, and A and B are mutually exclusive, then P(A or B) = .
4. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you draw one marble, what is the probability that it is either red or blue?
5. Drawing a King and drawing a Queen from a standard deck of cards are mutually exclusive events.
True
False
6. Consider the Venn Diagram below. Are events A and B mutually exclusive? Explain your reasoning.