Question

There are six nickels and four dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels. Round your answer to the nearest thousandth(three decimal places)

Answer 1

0.333

Explanation:

We have a total of 10 coins, where 6 are nickels and 4 are dimes.

If we pick a coin, the probability of this coin being a nickel is 6/10.

After picking the first coin, and this coin being a nickel, we have a total of 9 coints, where 5 are nickels and 4 are dimes.

So, the probability of the second coin being picked being a nickel is 5/9.

Then, the probability of both coins being nickels is:

(6/10) * (5/9) = 30/90 = 1/3 = 0.333 = 33.3%