question archive There are 20 single-colored marbles in Hagrid's teapot, 6 of them are red, 5 of them are green and 9 of them are yellow

There are 20 single-colored marbles in Hagrid's teapot, 6 of them are red, 5 of them are green and 9 of them are yellow

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There are 20 single-colored marbles in Hagrid's teapot, 6 of them are red, 5 of them are green and 9 of them are yellow. We pick the marbles from the teapot one by one and record the color without replacing them back.

(a) Calculate the conditional probability that the 7th marble will be yellow, given that we have 2 reds, 2 greens and 2 yellows in the first six draws.

(b)  Calculate the probability that the 10th draw is yellow.

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