Probability – Tree Diagrams, Theoretical Probability
Maths
high_school
10 questions
~20 mins
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A comprehensive Maths worksheet on Probability – Tree Diagrams, Theoretical Probability for high school students. Includes a variety of question types including multiple choice, short answer, and true/false questions.
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Probability – Tree Diagrams, Theoretical Probability
Subject: MathsGrade: high_school
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Probability – Tree Diagrams, Theoretical Probability
Maths
Instructions: Read each question carefully and choose the correct answer for multiple-choice questions. For short answer questions, provide your answer in the space provided. Indicate whether the statements in the true/false questions are true or false.
A
Multiple Choice Questions
Select the correct answer for each question.
1.
What is the probability of rolling a 4 on a fair six-sided die?
AA) 1/6
BB) 1/3
CC) 1/4
DD) 1/2
2.
If you flip a coin and roll a die, what is the probability of getting heads and a 5?
AA) 1/12
BB) 1/6
CC) 1/2
DD) 1/3
3.
In a bag of 10 marbles (4 red, 3 blue, 3 green), what is the probability of drawing a red marble?
AA) 3/10
BB) 4/10
CC) 1/5
DD) 2/5
4.
If event A has a probability of 0.3 and event B has a probability of 0.5, what is the probability of both events occurring if they are independent?
AA) 0.15
BB) 0.8
CC) 0.5
DD) 0.3
5.
Which of the following events are mutually exclusive?
AA) Rolling a die and getting an even number or a number greater than 4
BB) Drawing a card and getting a heart or a spade
CC) Flipping a coin and getting heads or tails
DD) All of the above
6.
What is the expected outcome when you roll a fair six-sided die?
AA) 3.5
BB) 4
CC) 5
DD) 6
7.
If the probability of event C is 0.8, what is the probability that event C does not occur?
AA) 0.2
BB) 0.8
CC) 1
DD) 0.5
8.
In a tree diagram for flipping two coins, how many outcomes are there?
AA) 2
BB) 3
CC) 4
DD) 6
9.
If you draw one card from a standard deck of 52 cards, what is the probability of drawing a queen?
AA) 1/13
BB) 1/52
CC) 1/4
DD) 1/26
10.
What is the probability of selecting a day of the week that is a weekend (Saturday or Sunday)?
AA) 1/7
BB) 2/7
CC) 1/14
DD) 5/7
B
True/False Questions
Circle True or False for each statement.
1.
The sum of probabilities of all possible outcomes of an event is always 1.
2.
If two events are independent, the occurrence of one event affects the probability of the other.
3.
Tree diagrams can only represent one event at a time.
C
Short Answer Questions
Answer each question in the space provided.
1.
Explain what a tree diagram is and how it is used in probability.
2.
If the probability of rain tomorrow is 0.4, what is the probability that it will not rain?
3.
Define mutually exclusive events with an example.
4.
Calculate the expected value of the following game: You win $5 with a probability of 0.2, and you win $0 with a probability of 0.8.
5.
What is conditional probability? Give an example.
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- Created
- 4/14/2025
- Updated
- 12/29/2025
- Type
- worksheet