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How to calculate the answer 0.0711? Please give me the detail of every step, thanks! There...

How to calculate the answer 0.0711? Please give me the detail of every step, thanks!

There are 6 red balls and 4 black balls in an urn. In each ‘trial’ 4 balls are drawn with replacement from the urn. If 2 red balls and 2 black balls are drawn in a trial, it is called a ‘success’. Trials of this kind are repeated. What is the probability that the 5th ‘success’ occurs on the 15th trial?

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