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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Warm-Up: Union, Overlap, and the Right Rule

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

1.

A spinner has 8 equal sections numbered 1 through 8. The event "lands on a multiple of 3" is {3,6}\{3, 6\}. Write the probability of this event as a fraction in the form (favorable)/(total). What is P(multiple of 3)P(\text{multiple of }3)?