Independent and Dependent Events Worksheet

Grade 11 worksheet covering independent and dependent events in probability, including definitions, examples, and calculations.

Grade 11 Math Probability and StatisticsIndependent and Dependent Events

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TextMultiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSS.CP.A.2CCSS.MATH.CONTENT.HSS.CP.A.3CCSS.MATH.CONTENT.HSS.CP.A.4CCSS.MATH.CONTENT.HSS.CP.A.5

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mathprobabilitystatisticsindependent eventsdependent eventsgrade 11

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Independent and Dependent Events

Name:

Date:

Score:

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

Definitions:

Independent Events: Two events are independent if the occurrence of one does not affect the probability of the other.

Dependent Events: Two events are dependent if the occurrence of one affects the probability of the other.

1. Which of the following is an example of independent events?

Drawing a card from a deck, not replacing it, and drawing another card.

Flipping a coin and rolling a die.

Selecting a student for a team, and then selecting another student from the remaining pool.

Eating the first slice of pizza and then eating a second slice.

2. If P(A) = 0.4 and P(B) = 0.5, and events A and B are independent, what is P(A and B)?

0.9

0.2

0.1

0.6

3. The probability of two independent events occurring is found by their individual probabilities.

4. When events are dependent, the probability of the second event occurring on the outcome of the first event.

5. A bag contains 5 red marbles and 3 blue marbles. If you draw a marble, do not replace it, and then draw another marble, are these events independent or dependent? Explain your reasoning and calculate the probability of drawing two red marbles.

6. Rolling a 6 on a die and then rolling another 6 on the same die are dependent events.

True

False

7. In a class of 30 students, 18 are girls and 12 are boys. If a student is chosen at random to lead a presentation, and then a different student is chosen from the remaining class to take notes, what is the probability that both students chosen are girls?