Independent and Dependent Events
Explore the concepts of independent and dependent events in probability with this worksheet designed for Grade 9 students.
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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. Calculate the probabilities as required. Show all your work.
1. Which of the following scenarios describes independent events?
Drawing two cards from a deck without replacement.
Flipping a coin twice.
Selecting two students from a class to be president and vice-president.
Choosing two different flavors of ice cream from a menu.
2. If P(A) = 0.4 and P(B) = 0.5, and A and B are independent events, what is P(A and B)?
0.9
0.2
0.7
0.1
3. Events are if the occurrence of one event does not affect the probability of the other event.
4. If two events are dependent, the probability of both events occurring is found by multiplying the probability of the first event by the probability of the second event.
5. A bag contains 5 red marbles and 3 blue marbles. What is the probability of drawing two red marbles in a row if the first marble is NOT replaced?
6. A fair six-sided die is rolled, and a coin is flipped. What is the probability of rolling a 4 AND flipping a head?
7. Drawing a king from a deck of cards, replacing it, and then drawing another king are dependent events.
True
False
8. The probability of two independent events both occurring is P(A) + P(B).
True
False
9. A class has 10 boys and 15 girls. Two students are chosen at random to represent the class at a competition. What is the probability that both students chosen are girls?