Conditional Probability Worksheet
Explore conditional probability with real-world scenarios and calculations. This worksheet helps students understand how the probability of an event changes given that another event has occurred, covering concepts like sample spaces, independent and dependent events, and the conditional probability formula.
Includes
Standards
Conditional Probability
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. A bag contains 5 red marbles and 3 blue marbles. If you draw a red marble and do not replace it, what is the probability of drawing another red marble?
4/8
4/7
5/8
5/7
2. In a deck of 52 cards, what is the probability of drawing a King, given that you have already drawn a face card (King, Queen, Jack) and not replaced it?
3/11
4/12
4/51
1/13
3. Conditional probability is the probability of an event occurring given that another event has .
4. If two events are , the occurrence of one does not affect the probability of the other.
5. A spinner has 4 equal sections: Red, Blue, Green, Yellow. What is the probability of landing on Red given that it landed on a primary color (Red, Blue, Yellow)? Explain your reasoning.
6. A class has 10 boys and 12 girls. If a student is chosen at random, and it is known that the student wears glasses, what is the probability that the student is a boy? (Assume 4 boys wear glasses and 6 girls wear glasses.)
7. The formula for conditional probability P(A|B) is P(A and B) / P(B).
True
False
8. If P(A|B) = P(A), then events A and B are dependent.
True
False
Use the Venn Diagram below to answer the following questions:
9. What is P(A)?
10. What is P(A|B)?