Non-Disjoint Events Probability Worksheet
Explore the concept of non-disjoint events and calculate probabilities using the Addition Rule for Grade 9 students.
Includes
Standards
Topics
Non-Disjoint Events Probability
Name:
Date:
Score:
Read each question carefully and calculate the probabilities for non-disjoint events. Show all your work.
1. Which of the following pairs of events are non-disjoint (overlapping) when drawing a single card from a standard deck of 52 cards?
Drawing a King and drawing a Queen
Drawing a red card and drawing a black card
Drawing a Club and drawing a King
Drawing an Ace and drawing a 2
2. If P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, what is P(A or B)?
0.7
0.9
0.3
0.1
3. The Addition Rule for non-disjoint events states that P(A or B) = P(A) + P(B) - P( and ).
4. If two events have at least one outcome in common, they are considered events.
5. A spinner has 8 equal sections numbered 1 through 8. What is the probability of spinning an even number or a number greater than 5? Show your work.
6. In a class of 30 students, 15 students play basketball, 10 students play soccer, and 5 students play both. What is the probability that a randomly chosen student plays basketball or soccer? Show your work.
7. Use the Venn Diagram below to answer the following questions:
a) What are the elements in set A?
b) What are the elements in set B?
c) What are the elements in A and B (A ∩ B)?
d) What are the elements in A or B (A U B)?
8. The probability of two non-disjoint events occurring is always less than the probability of either event occurring individually.
True
False
9. If events A and B are disjoint, then P(A or B) = P(A) + P(B).
True
False