Mutually Exclusive Events Worksheet

Explore mutually exclusive events in probability with this Grade 9 worksheet, featuring definitions, examples, and practice problems.

Grade 9 Math Probability and StatisticsMutually Exclusive Events

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2 TextMultiple ChoiceTrue / FalseFill in the BlanksShort Answer

Standards

CCSS.MATH.CONTENT.HSS.CP.A.2CCSS.MATH.CONTENT.HSS.CP.A.5

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probabilitymutually exclusiveeventsgrade 9math

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Mutually Exclusive Events

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Mutually Exclusive Events

In probability, two events are considered mutually exclusive if they cannot occur at the same time. This means that if one event happens, the other cannot. For example, when flipping a coin, getting a 'heads' and getting a 'tails' are mutually exclusive events because you cannot get both at once.

If A and B are mutually exclusive events, the probability of A or B occurring is given by the formula: P(A or B) = P(A) + P(B).

1. Which of the following pairs of events are mutually exclusive when rolling a single die?

Rolling an even number and rolling a number less than 3

Rolling an odd number and rolling a multiple of 3

Rolling a prime number and rolling an even number

Rolling a number greater than 4 and rolling a number less than 3

2. If P(A) = 0.3 and P(B) = 0.5, and events A and B are mutually exclusive, what is P(A or B)?

0.15

0.8

0.2

Cannot be determined

1. Drawing a red card and drawing a spade from a standard deck of cards are mutually exclusive events.

True

False

2. The probability of two mutually exclusive events both occurring is always 0.

True

False

1. If two events cannot happen at the same time, they are called events.

2. For mutually exclusive events A and B, P(A and B) = .

1. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you pick one marble at random, what is the probability of picking a red marble or a blue marble? Show your work.

2. Explain in your own words why rolling an even number and rolling an odd number on a standard six-sided die are mutually exclusive events.

Venn Diagram representing Mutually Exclusive Events

In this Venn Diagram, the circles for Event A and Event B do not overlap, indicating that they are mutually exclusive. There is no intersection between them.