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

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(52777) (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~

The probability to draw a nickel is   =   at each single separate trial.


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


     = 0.1985 = 19.85% (rounded).    ANSWER

Solved, answered and explained.

RELATED QUESTIONS
There are seven nickels and five dimes in your pocket. Three times, you randomly pick a... (answered by Fombitz)

There are 5 nickels and 6 dimes in your pocket you randomly pick a coin out of your... (answered by Boreal)

there are eight nickles and eight dimes in your pocket. You randomly pick a coin out of... (answered by Alan3354,ikleyn)

There are four nickels and seven dimes in your pocket. One of the nickels and one of the... (answered by greenestamps)

In your pocket, you have a handful of change in nickels, dimes, and quarters that totals... (answered by htmentor)

I am having a horrible time trying to figure this out. you have 10 coins in your pocket (answered by algebrahouse.com)

You have a total of 50 nickels and dimes in your pocket. They are worth $3.15. How many... (answered by Alan3354,ikleyn)

You have quarters and nickels in your pocket with a total value of $1.10. There are more... (answered by TimothyLamb)

You have a five-dollar bill and a total of $11.30 in your pocket. You have 3 times as... (answered by josgarithmetic)