General Multiplication Rule Extended. For three events, say,A,B, and C, the general multiplication rule is P(A&B&C) = P(A) • P(B| A) • P(C| (A&B)). a. Suppose that three cards are randomly selected without replacement from an ordinary deck of 52 cards. Find the probability that all three cards are hearts; the first two cards are hearts and the third is a spade.b. State the general multiplication rule for four events.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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General Multiplication Rule Extended. For three events, say,A,B, and C, the general multiplication rule is

P(A&B&C) = P(A) • P(B| A) • P(C| (A&B)).

a. Suppose that three cards are randomly selected without replacement from an ordinary deck of 52 cards. Find the probability that all three cards are hearts; the first two cards are hearts and the third is a spade.
b. State the general multiplication rule for four events.

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