Independent and Dependent Events Worksheet

Understand and differentiate between independent and dependent events in probability, and calculate probabilities for each.

Grade 10 Math Probability and StatisticsIndependent and Dependent Events

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Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerCustom

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

Topics

probabilityindependent eventsdependent eventsgrade 10 math

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Independent and Dependent Events

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Read each question carefully and determine whether the events are independent or dependent. Then, calculate the probabilities as requested.

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

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

Flipping a coin and getting heads, then rolling a die and getting a 6.

Picking a student for a presentation, then picking another student from the remaining class for a different presentation.

Eating a piece of candy from a bag, then eating another piece from the same bag.

2. If events A and B are independent, which formula is used to find P(A and B)?

P(A) + P(B)

P(A) * P(B)

P(A) / P(B)

P(A) + P(B) - P(A and B)

1. Drawing two cards from a deck without replacement represents independent events.

True

False

2. If the probability of event A is 0.5 and the probability of event B is 0.4, and they are independent, then P(A and B) = 0.2.

True

False

1. Two events are if the occurrence of one does not affect the probability of the other.

2. Two events are if the occurrence of one affects the probability of the other.

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

1. A bag contains 5 red marbles and 3 blue marbles. What is the probability of drawing a red marble, replacing it, and then drawing another red marble?

2. A bag contains 5 red marbles and 3 blue marbles. What is the probability of drawing a red marble, NOT replacing it, and then drawing another red marble?

3. You roll a standard six-sided die twice. What is the probability of rolling a 4 on the first roll and an odd number on the second roll?

Consider a deck of 52 playing cards.

1. What is the probability of drawing a King, replacing it, and then drawing a Queen?

2. What is the probability of drawing a King, NOT replacing it, and then drawing a Queen?