Statistics Flashcards: Applying The Multiplication Rule For Probability

Study Applying The Multiplication Rule For Probability in Statistics with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

In a uniform model with #(S)=50\#(S)=50, #(A)=20\#(A)=20, #(AB)=5\#(A \cap B)=5, find P(AB)P(A \cap B).

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ANSWER

110\frac{1}{10}. Count favorable outcomes over total: 550=110\frac{5}{50} = \frac{1}{10}.

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Statistics: Probability Rules

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What this deck covers

This deck focuses on Applying The Multiplication Rule For Probability, giving you a quick way to review the definitions, rules, and examples that matter most for Statistics.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set
A card is drawn first from a standard 52-card deck and kept out (no replacement). Event AA is "the first card is a heart," and event BB is "the second card is a heart." Given P(A)=1352P(A)=\frac{13}{52} and P(BA)=1251P(B\mid A)=\frac{12}{51}, what is the probability that both events occur, P(AB)P(A\cap B)?
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