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Non-disjoint Events Probability Worksheet

A Grade 10 math worksheet focusing on understanding and calculating probabilities of non-disjoint events using Venn diagrams and the Addition Rule.

Grade 10 Math Probability and StatisticsNon-disjoint Events
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Includes

2 Short AnswerTextMultiple ChoiceFill in the BlanksTrue / False

Standards

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

Topics

probabilitynon-disjoint eventsVenn diagramsGrade 10math
8 sections · Free to use · Printable
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Non-disjoint Events Probability

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Date:

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Read each question carefully and answer to the best of your ability. Show all work for calculations.

1. In your own words, explain what non-disjoint events are in probability. Provide an example.

Use the Venn diagram below to answer the following questions:

U A B 1 2 3 4 5 6

2. List the elements in Set A:

3. List the elements in Set B:

4. List the elements in A ∩ B (A intersection B):

5. List the elements in A ∪ B (A union B):

6. A card is drawn from a standard deck of 52 cards. What is the probability that the card is a King or a red card?

a

4/52

b

26/52

c

28/52

d

30/52

7. In a class of 30 students, 17 students play basketball, 15 students play soccer, and 9 students play both. The probability that a randomly chosen student plays basketball or soccer is  .

8. The formula for the probability of two non-disjoint events A and B is P(A ∪ B) = P(A) + P(B) -  .

9. A bag contains 20 marbles: 8 are red, 6 are blue, and 6 are green. 4 of the red marbles have stripes, and 3 of the blue marbles have stripes. None of the green marbles have stripes. What is the probability of drawing a red marble or a striped marble?

10. If two events are mutually exclusive, they are also non-disjoint.

T

True

F

False