Back to Apply the Addition Rule — Problem 4 · 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
Work through problems with immediate feedback
A

Fluency Practice: Apply the Rule

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

1.

A single die is rolled. Let $C = $ "rolls a 2" and $D = $ "rolls a 5." A single roll cannot be both, so these events are mutually exclusive and P(C and D)=0P(C \text{ and } D) = 0. Find P(C or D)P(C \text{ or } D) as a fraction with denominator 6.