Conditional Probability Worksheet
This worksheet covers conditional probability concepts, including calculating probabilities of events given that another event has occurred, and interpreting Venn diagrams.
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Conditional Probability Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A bag contains 5 red marbles and 3 blue marbles. If two marbles are drawn without replacement, what is the probability that the second marble drawn is blue, given that the first marble drawn was red?
3/8
3/7
5/8
5/7
2. In a class, 60% of students study Math and 40% study Science. If 20% of students study both Math and Science, what is the probability that a randomly selected student studies Science, given that they study Math?
0.20
0.33
0.50
0.60
3. The formula for conditional probability P(A|B) is P(A \u2229 B) / .
4. If P(A \u2229 B) = 0.15 and P(B) = 0.5, then P(A|B) = .
5. A standard deck of 52 cards is used. What is the probability of drawing a King, given that the card drawn is a face card?
6. Conditional probability is the probability of an event occurring given that another event has already occurred.
True
False
Use the Venn Diagram below to answer the following questions.
7. What is P(A)?
8. What is P(A \u2229 B)?
9. What is P(A|B)?