K12worX
Back to Apply the Addition Rule — Problem 1 · 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.

One card is drawn from a standard deck. Let $K = $ "a king" with P(K)=452P(K) = \frac{4}{52} and $H = $ "a heart" with P(H)=1352P(H) = \frac{13}{52}. The overlap is P(K and H)=152P(K \text{ and } H) = \frac{1}{52}. Use the Addition Rule to find P(K or H)P(K \text{ or } H) as a fraction with denominator 52.