Determine the probability of the following scenario: There are 8 nickels and six 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. The first time, the coin is a nickel. The second time, it's a dime. The third time, it's a nickel. (Provide the probability correctly rounded to the third decimal place.)
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