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You have a bag with 6 marbles. One marble is white. You reach the bag 100 times. After taking out a marble, it is placed back in the bag. What is the probability of drawing a white marble at least once?
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Answer Posted / Sunny Devkumar Singh
The probability of drawing at least one white marble in 100 draws can be calculated using the binomial distribution formula: P(X >= 1) = 1 - P(X = 0), where X is the number of times a white marble is NOT drawn. Since there's only one white marble among six marbles, P(X = 0) can be found using the formula for the binomial probability: P(X = 0) = (5/6)^100 * (5/6)^(99) * ... * (5/6) = (5/6)^100 * ((5/6)^99 - 1)/(5/6 - 1). Using a calculator, you can find that the probability of drawing at least one white marble in 100 draws is approximately 0.827.
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