Independent and Dependent Events Worksheet

Grade 12 Math worksheet on understanding and calculating probabilities of independent and dependent events.

Grade 12 Math Probability and StatisticsIndependent and Dependent Events

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Includes

Multiple 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.5

Topics

probabilitystatisticsindependent eventsdependent eventsgrade 12

7 sections · Free to use · Printable

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Independent and Dependent Events

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Date:

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

1. Which of the following describes two events where the outcome of the first event does NOT affect the outcome of the second event?

Dependent events

Mutually exclusive events

Independent events

Complementary events

2. A bag contains 3 red marbles and 2 blue marbles. If you draw a marble, replace it, and then draw another marble, what type of events are these?

Dependent

Independent

Mutually exclusive

Conditional

3. The probability of two independent events A and B both occurring is given by P(A and B) = P(A) P(B).

4. If two events are dependent, the probability of both occurring is P(A and B) = P(A) P(B|A).

5. A standard deck of 52 cards is used. What is the probability of drawing a King, not replacing it, and then drawing another King?

6. A coin is flipped and a standard six-sided die is rolled. What is the probability of getting a 'Heads' on the coin and a '4' on the die?

7. Drawing a card from a deck, replacing it, and then drawing another card are dependent events.

True

False

8. The probability of two independent events occurring is always greater than the probability of either event occurring alone.

True

False

9. A box contains 4 green pens and 6 blue pens. You pick a pen, do NOT replace it, and then pick another pen. What is the probability that both pens are blue?

10. In a class, 60% of students study Math and 40% study Physics. If 25% of students study both Math and Physics, are the events 'studying Math' and 'studying Physics' independent? Justify your answer.