General Multiplication Rule Extended. For three events, say,A,B, and C, the general multiplication rule isP(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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Asked Jan 9, 2020
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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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Expert Answer

Step 1

a)

The General Multiplication Rule Extended:

For three events   A, B and, C the general multiplication rule is,

Statistics homework question answer, step 1, image 1
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Step 2
Statistics homework question answer, step 2, image 1
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Step 3
Statistics homework question answer, step 3, image 1
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