What is probability of finding a ball in n round without replacemeny?
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Suppose I am to choose three balls without replacement from a bag containing 5 white and 4 red balls. What will be the probability distribution of the red balls drawn ?.
According to my book, probability function will be
(3x)(49)x(59)3−x
What I didn't understand is why my book is taking probability of choosing red ball to be 4/9 and the probability of choosing a white ball to be 5/9. I think the above probabilities are of choosing the red and the white balls in the first trial. In other trials the probability of the above two events will change as we are drawing balls without replacement.
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