Non-disjoint Events Worksheet
Explore and calculate probabilities of non-disjoint events using Venn diagrams and the Addition Rule.
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Standards
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Non-disjoint Events: Probability Practice
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Date:
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Read each question carefully and show all your work. Use the provided space to write your answers. Remember to apply the Addition Rule for probabilities of non-disjoint events: P(A or B) = P(A) + P(B) - P(A and B).
1. In a group of 100 students, 40 play soccer, 30 play basketball, and 10 play both. What is the probability that a randomly selected student plays soccer or basketball?
0.60
0.70
0.80
0.90
2. If P(A) = 0.5, P(B) = 0.6, and P(A and B) = 0.3, then P(A or B) = .
3. Two events are considered non-disjoint if they have at least one outcome.
4. A single card is drawn from a standard 52-card deck. What is the probability of drawing a King or a Heart?
5. Use the Venn diagram below to answer the following questions.
a. List the elements in set A:
b. List the elements in set B:
c. List the elements in A ∩ B:
d. List the elements in A ∪ B:
6. The Addition Rule for probability is used exclusively for disjoint events.
True
False
7. In a class of 30 students, 15 are enrolled in Chemistry, 10 are enrolled in Physics, and 5 are enrolled in both. What is the probability that a randomly chosen student is enrolled in Chemistry or Physics?
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