Statistics and Probability Quiz
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INDEPENDENCE & CONDITIONAL PROBABILITY
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Two cards are drawn with replacement from a standard 52-card deck. Let AA be "the first card is an ace" and BB be "the second card is an ace." Given that P(A)=113P(A)=\tfrac{1}{13}, P(B)=113P(B)=\tfrac{1}{13}, and P(A∩B)=0.006P(A\cap B)=0.006, are AA and BB independent? Justify using probabilities by comparing P(A∩B)P(A\cap B) to P(A)P(B)P(A)P(B).
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