Independent and Dependent Events
Explore the concepts of independent and dependent events in probability with this Grade 7 worksheet, featuring real-world examples and calculation exercises.
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Independent and Dependent Events
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Read each question carefully and determine whether the events described are independent or dependent. Then, answer the probability questions as instructed.
1. Classify the following event pair:
Flipping a coin and getting heads, then rolling a die and getting a 6.
Independent
Dependent
Mutually Exclusive
Complementary
2. Classify the following event pair:
Drawing a red marble from a bag, not replacing it, then drawing another red marble.
Independent
Dependent
Mutually Exclusive
Complementary
3. If the outcome of one event does not affect the outcome of another event, they are called events.
4. If the outcome of one event affects the outcome of another event, they are called events.
5. A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of drawing a red marble, replacing it, and then drawing a blue marble?
6. Using the same bag of marbles as in question 5, what is the probability of drawing a red marble, NOT replacing it, and then drawing a blue marble?
7. A spinner has 4 equal sections labeled A, B, C, D. What is the probability of spinning 'A' twice in a row?
8. When calculating the probability of two independent events, you multiply their individual probabilities.
True
False