Independent and Dependent Events Worksheet
Explore the concepts of independent and dependent probability with real-world examples and problems for 8th graders.
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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 probability as requested.
1. Which of the following is an example of independent events?
Drawing two cards from a deck without replacement.
Flipping a coin and rolling a die.
Picking two marbles from a bag without putting the first one back.
Selecting a student for a presentation, then selecting another student from the remaining class for a different presentation.
2. A bag contains 5 red and 3 blue marbles. What is the probability of picking a red marble, replacing it, and then picking another red marble?
25/64
20/64
15/64
3/8
3. When the outcome of one event does not affect the outcome of another event, the events are .
4. When the outcome of one event influences the outcome of another event, the events are .
5. A jar contains 4 blue, 6 red, and 2 green candies. What is the probability of picking a red candy, and then without replacement, picking a blue candy? Show your work.
6. Rolling a 6 on a die and then rolling another 6 on the same die are dependent events.
True
False
7. The probability of an independent event occurring is affected by previous events.
True
False
8. A class has 15 boys and 10 girls. If two students are chosen at random to be class representatives, what is the probability that both students chosen are girls? Is this an example of independent or dependent events? Explain.