Conditional Probability Worksheet
Explore conditional probability through real-world scenarios and calculations for Grade 7 students.
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Conditional Probability Practice
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Read each question carefully and answer to the best of your ability. Show your work for short answer questions.
1. Which of the following best describes conditional probability?
The probability of an event occurring regardless of other events.
The probability of two events occurring at the same time.
The probability of an event occurring given that another event has already occurred.
The probability of an event not occurring.
2. Conditional probability is often written as P(A | B), which means the probability of event A occurring given that event has already occurred.
3. The sample space for a conditional probability problem is reduced to only the outcomes where the event occurred.
4. A bag contains 5 red marbles and 3 blue marbles. If you draw a marble, and it is red, what is the probability that the next marble you draw (without replacement) is also red? Show your work.
5. If two events are independent, then the conditional probability P(A | B) is equal to P(A).
True
False
6. In a class of 20 students, 12 students play basketball and 8 students play soccer. Of the students who play basketball, 5 also play soccer. If a student is chosen randomly and they play soccer, what is the probability that they also play basketball?