Lesson Worksheet: Mutually Exclusive Events Mathematics • 10th Grade
In this worksheet, we will practice identifying mutually exclusive events and non-mutually exclusive events and finding their probabilities.
Q1:
Mia has a deck of 52 cards. She randomly selects one card and considers the following events:
Event : picking a card that is a heart;
Event : picking a card that is black
Event : picking a card that is not a spade
Are events and mutually exclusive?
- ANo
- BYes
Are events and mutually exclusive?
- ANo
- BYes
Are events and mutually exclusive?
- AYes
- BNo
Q2:
Amelia has these 10 cards.
Choose a Venn diagram for the experiment of randomly picking a card that shows the two events βpicking a multiple of 3β and βpicking a square number.β
- A
- B
- C
- D
- E
Are the events βpicking a multiple of 3β and βpicking a square numberβ mutually exclusive?
- ANo
- BYes
What is the probability of picking a number that is a multiple of 3 and a square number? Give your answer as a fraction in its simplest form.
- A3/5
- B2/5
- C9/10
- D1/10
- E1/5
Q8:
A bag contains red, blue, and green balls, and one is to be selected without looking. The probability that the chosen ball is red is equal to seven times the probability that the chosen ball is blue. The probability that the chosen ball is blue is the same as the probability that the chosen ball is green.
Find the probability that the chosen ball is red or green.
- A
- B
- C
- D
Q10:
Which of the following is true if ?
- AEvents and are independent.
- BEvents and have equal probabilities.
- CEvents and are collectively exhaustive.
- DThe probability of the intersection of events and is equal to the probability of their union.
- EEvents and are mutually exclusive.
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