Back to Apply the Addition Rule — Problem 2 · 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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Warm-Up: Union, Overlap, and the Right Rule

These problems review the ideas the Addition Rule is built on.

1.

One card is drawn from a standard 52-card deck. Let $K = $ "a king" (4 cards) and $H = $ "a heart" (13 cards). How many cards belong to BOTH events, i.e. the overlap KK and HH?