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24 February, 22:24

Suppose there are three blue marbles and three yellow marbles in a bag and you want to remove two marbles. You do not replace the first marble. What is the probability that you will select a blue marble and then a yellow marble? Express your answer as a percent

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  1. 24 February, 23:17
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    Total sample space {b, b, b, y, y, y,} = > (3blues + 3 yellows) = all possible outcome

    P (1st draw = b) = 3/6 = 1/2 = 0.5 or 50%

    Since it's not replaced, the sample space becomes {b, b, y, y, y}

    P (2nd draw=y) = 3/5 = 0.6 = 60%

    Now the probability of drawing a blue AND a yellow (blue ∩yellow), becomes a conditional probability that means P (b∩y) = p (b) x P (y)

    P (blue AND yellow) = 0.5 x 0.6 = 0.3
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