Statistics Flashcards: Understanding Independent Events

Study Understanding Independent Events in Statistics with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Identify whether $A$ and $B$ are independent if $P(A)=\frac{2}{5}$ , $P(B)=\frac{1}{2}$ , and $P(A\cap B)=\frac{1}{5}$ .

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ANSWER

Independent. Check: $\frac{2}{5} \times \frac{1}{2} = \frac{1}{5}$ , which equals $P(A \cap B)$ .

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What this deck covers

This deck focuses on Understanding Independent Events, 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 jar contains many marbles. One marble is selected at random. Let event

A

be "the marble is red" and event

B

be "the marble is large." Given that

P(A)=0.30

P(B)=\tfrac{2}{5}

, and

P(A\cap B)=0.12

, are

A

and

B

independent? Justify using probabilities by comparing

P(A\cap B)

P(A)P(B)

Choose an answer

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