SOLUTION: There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket

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Question 1181039: There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occurring.
Answer by ikleyn(52776) About Me  (Show Source):
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There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket,
return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel.
Find the probability of this occurring.
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The probability to draw a nickel is  7%2F%287%2B5%29 = 7%2F12  at each single separate trial.


The probability to have such outcome in three trials, as described in this experiment, is  


    %287%2F12%29%5E3 = 0.1985 = 19.85% (rounded).    ANSWER

Solved, answered and explained.