question archive There are 20 single-colored balls in a bag, 6 of them are black , 5 of them are red and 9 of them are white

There are 20 single-colored balls in a bag, 6 of them are black , 5 of them are red and 9 of them are white

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There are 20 single-colored balls in a bag, 6 of them are black , 5 of them are red and 9 of them are white. Balls are picked one by one without replacement and their respective colors are recorded.

 

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

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

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