Question

A bowl contains 7 pennies, 9 nickels, and 4 dimes. Elyse removes one coin at random from the bowl and does not replace it. She then removes a second coin at random. What is the probability that both will be dimes?

Answer 1

`3/95`

Explanation:

7+9+4=20 coins in total

Probability of selecting a dime is `4/20`

If there is no replacement then there are only 19 coins left now. If we take a dime out on the first pick there are only 3 left now so the second pick is `3/19`

The probability that you will pick two dimes is

`4/20xx3/19` =`12/380` = `3/95`