Statistics Flashcards: Conditional Probability And Independence

Study Conditional Probability And Independence in Statistics with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

State an equivalent independence condition using only P(AB)P(A\cap B), P(A)P(A), and P(B)P(B).

Tap card or press Space to flip

ANSWER

AA and BB are independent if P(AB)=P(A)P(B)P(A\cap B)=P(A)P(B). Product rule holds when events don't influence each other.

1 / 35

Statistics: Independence & Conditional Probability

All flashcards

35 cards

What this deck covers

This deck focuses on Conditional Probability And Independence, 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 37Practice questions for this set
A company finds P(A)=0.50P(A)=0.50, P(B)=0.40P(B)=0.40, and P(AB)=0.30P(A\cap B)=0.30, where event AA is "an employee completed training" and event BB is "an employee received a promotion." Based on the information given, are AA and BB independent? Use conditional probability by comparing P(AB)P(A\mid B) and P(A)P(A).
Choose an answer

Keep your progress across every deck

Free account · cards you mark are saved to it