A bag contains 4 white and 6 black balls

MATHEMATICS · Single correct · GCSE · Mathematics · Probability · Probability

Problem

A bag contains 4 white and 6 black balls. Two balls are drawn one after another without replacement. Let A be the event “the first ball is white” and B be the event “the second ball is white”. Which statement is correct? (a) A and B are independent because P(B)=410P(B)=\dfrac{4}{10} (b) A and B are not independent because P(A∩B)≠P(A)P(B)P(A\cap B)\ne P(A)P(B) (c) A and B are mutually exclusive (d) A and B are independent because P(A∩B)=425P(A\cap B)=\dfrac{4}{25}

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