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Back to Apply the Addition Rule — Problem 3 · Task Set 24

Exercises: Apply the Addition Rule for the Probability of A or B

Work through each section in order. For "or" probabilities, decide first whether the events can both happen: if they can, subtract the overlap P(A and B); if they cannot, the overlap is 0 and you simply add. Convert counts to probabilities over a single sample space before applying the rule, and check that your answer is between 0 and 1. Write interpretations in complete sentences.

Grade 10·21 problems·~32 min·Common Core Math - HS Statistics and Probability·group·hss-cp-b-7
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Fluency Practice: Apply the Rule

Apply the Addition Rule. Decide whether there is an overlap to subtract.

1.

Two events satisfy P(A)=0.5P(A) = 0.5, P(B)=0.4P(B) = 0.4, and P(A and B)=0.2P(A \text{ and } B) = 0.2. Use the Addition Rule to find P(A or B)P(A \text{ or } B) as a decimal.