Mutually Exclusive Events Worksheet
Explore mutually exclusive events in probability with this Grade 8 worksheet, featuring exercises on identifying and calculating probabilities.
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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 calculation problems.
1. Which of the following pairs of events are mutually exclusive when rolling a standard six-sided 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 prime number and rolling an even number
Rolling a number less than 2 and rolling a number greater than 4
2. If P(A) = 0.4 and P(B) = 0.3, and events A and B are mutually exclusive, what is P(A or B)?
0.12
0.7
0.5
0
1. If two events are mutually exclusive, they cannot happen at the same time.
True
False
2. Drawing a red card and drawing a face card from a standard deck of cards are mutually exclusive events.
True
False
1. If events A and B are mutually exclusive, then P(A and B) = .
2. When two events cannot occur at the same time, they are called events.
1. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you draw one marble, what is the probability of drawing a red marble or a blue marble? Explain why these events are mutually exclusive.
2. Consider a standard deck of 52 playing cards. Are the events 'drawing a heart' and 'drawing a spade' mutually exclusive? Justify your answer.
Analyze the Venn Diagram below and answer the questions.
1. List the elements in Event A.
2. List the elements in Event B.
3. Are Events A and B mutually exclusive based on this diagram? Explain your reasoning.