An urn contains red and white balls Five balls are randomly

An urn contains \"An red and \"\" white balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is theprobability that all \"\" balls drawn from the urn are red? Round your answer to three decimal places.

Solution

As the balls are replaced, the probability of getting a red ball for each trial is the same.

The probability of a red ball is

P(red) = 6 red/(13 total balls) = 0.46154

Thus, the probability of getting 5 red balls in succession is, as they are independent events using the multiplication rule,

P(5 red consecutive) = 0.46154*0.46154*0.46154*0.46154*0.46154

= 0.021 [ANSWER]

 An urn contains red and white balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is

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