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.

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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.

[tex] \frac{7}{12} \cdot\frac{7}{12} \cdot\frac{7}{12}\approx 0.2 [/tex]

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

I hope this helps!

The probability of getting a nickel in three trials is 20%.

Given that, there are seven nickels and five dimes in your pocket.

We need to find the probability of getting nickel.

What is the formula to find the probability?

The formula to find the probability of an event is P(E)= Number of favourable outcomes/Total number of outcomes.

The probability of getting a Nickel every single time = 7/12

The probability of getting Nickle in three such trails=7/12×7/12×7/12=19.85%=20%.

Therefore, the probability of getting a nickel in three trial is 20%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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