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Non-disjoint Events Worksheet

Explore and calculate probabilities of non-disjoint events using Venn diagrams and the Addition Rule.

Grade 12 Math Probability and StatisticsNon-disjoint Events
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSS.CP.B.7

Topics

probabilitystatisticsnon-disjoint eventsVenn diagramsAddition Rule
8 sections · Free to use · Printable
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Non-disjoint Events: Probability Practice

Name:

Date:

Score:

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?

a

0.60

b

0.70

c

0.80

d

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.

U A B 1 2 3 4 5 6

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.

T

True

F

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?