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 occuring.

Hello!

As you can see, there are 12 total coins. There are 7 nickels, and as we replace our coin, the probability will remain the same the whole time. We will multiply below.

Therefore, we have about a 20% chance of this event occurring.

I hope this helps!

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thats not a system of equations, that is a solution