Non-Disjoint Events in Probability
Explore non-disjoint events in probability with this Grade 7 worksheet, including Venn diagrams and real-world scenarios.
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Non-Disjoint Events in Probability
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
Non-disjoint events (also called overlapping 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).
1. Which of the following pairs of events are non-disjoint?
Flipping a coin and getting heads, and rolling a die and getting a 3.
Drawing a red card from a deck, and drawing a spade from the same deck.
It raining outside, and the sun shining at the same time.
Rolling an even number on a die, and rolling an odd number on the same die.
2. If two events cannot happen at the same time, they are called events.
3. The probability of two non-disjoint events A and B occurring is calculated using the formula P(A or B) = P(A) + P(B) - .
4. A bag contains 10 marbles: 5 red, 3 blue, and 2 green. What is the probability of drawing a red marble OR a blue marble? Are these events disjoint or non-disjoint? Explain your reasoning.
Use the Venn Diagram below to answer the following questions.
5. The events A and B in the Venn diagram are disjoint.
True
False
6. Using the Venn diagram above, list the elements in A and B.
7. Using the Venn diagram above, list the elements in A or B.
8. Using the Venn diagram above, list the elements in A and B (the intersection).
Match each term with its definition.
9. Disjoint Events
a. Events that can happen at the same time.
10. Non-Disjoint Events
b. Events that cannot happen at the same time.
11. In a class of 30 students, 15 students play soccer, 10 students play basketball, and 5 students play both soccer and basketball. What is the probability that a randomly selected student plays soccer or basketball?