Non-Disjoint Events Probability Worksheet
Explore the probability of non-disjoint events using Venn diagrams and the Addition Rule for Grade 8.
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Non-Disjoint Events Probability
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Read each question carefully and follow the instructions to determine the probabilities of non-disjoint events. Use the provided Venn diagram to help visualize the events.
Non-disjoint events are events that can happen at the same time. When calculating the probability of non-disjoint events (A or B), we use the formula: P(A or B) = P(A) + P(B) - P(A and B).
Consider a standard deck of 52 playing cards. Let Event A be drawing a 'King' and Event B be drawing a 'Red Card'.
1. What is the probability of drawing a King, P(A)?
2. What is the probability of drawing a Red Card, P(B)?
3. What is the probability of drawing a King AND a Red Card, P(A and B)?
4. Using the information from the Venn Diagram Analysis, what is the probability of drawing a King OR a Red Card, P(A or B)?
4/52
26/52
28/52
30/52
5. In a group of 30 students, 15 play soccer, 10 play basketball, and 5 play both. The number of students who play neither sport is .
6. If P(A) = 0.6, P(B) = 0.4, and P(A and B) = 0.2, then P(A or B) = .
7. A survey of 100 people showed that 60 like apples, 50 like bananas, and 20 like both. How many people like apples or bananas? Show your work.