You choose a marble at random from a bag containing 7 green marbles, 3 purple marbles and 2 red marbles. After you pick the marble, you don't replace it and choose again. Find the probability of P(purple then green)

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Answer to a math question You choose a marble at random from a bag containing 7 green marbles, 3 purple marbles and 2 red marbles. After you pick the marble, you don't replace it and choose again. Find the probability of P(purple then green)

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Hermann

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green marbles = 7 purple marbles = 3 red marbles = 2 total marbles = green + purple + red = 7 + 3 + 2 = 12 probability of purple = 3/12 probability of green 2nd pick (without replacement) = 7/11 probability of purple then green = \frac{3}{12}\cdot\frac{7}{11}=\frac{21}{132}=\frac{7}{44}

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