Mutually Exclusive Events Worksheet
Explore the concepts of mutually exclusive events and their probabilities with this Grade 12 math worksheet.
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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 full credit.
1. Which of the following pairs of events are mutually exclusive?
Drawing a red card and drawing an ace from a standard deck of cards.
Rolling an even number and rolling a prime number on a single die.
Picking a student who plays basketball and picking a student who plays soccer from a class.
Flipping a coin and getting heads, and flipping the same coin and getting tails.
2. If P(A) = 0.4, P(B) = 0.3, and A and B are mutually exclusive events, what is P(A or B)?
0.12
0.7
0.58
0.28
1. If two events are mutually exclusive, they cannot occur at the same time.
True
False
2. The probability of two mutually exclusive events both occurring is always 1.
True
False
1. If events A and B are mutually exclusive, then P(A and B) = .
2. The Addition Rule for mutually exclusive events states that P(A or B) = .
1. In a class of 30 students, 15 students play soccer, 10 students play basketball, and 5 students play both. Are the events 'playing soccer' and 'playing basketball' mutually exclusive? Explain your reasoning.
2. Consider a standard deck of 52 playing cards. Let event A be drawing a Heart, and event B be drawing a Spade. Calculate P(A or B). Show your work.
The Venn diagram below represents two events, A and B. Use the diagram to answer the following questions.
1. Based on the Venn diagram, are events A and B mutually exclusive? Explain why.