SOLUTION: there are 9 coins in a pocket 4 nickels and 5 dimes If I were to take 3 coins out what is the probability of those three coins being $0.25. I was made aware that the answer is 1

Question 1065416: there are 9 coins in a pocket 4 nickels and 5 dimes
If I were to take 3 coins out what is the probability of those three coins being $0.25.
I was made aware that the answer is 10/21 but not the method of how it was solved

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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You can make up a table of the 8 possible outcomes and calculate the probabilities of each.
As you can see the probabilities sum to 1 so all outcomes are covered.
The outcomes that sum to 25 cents are shown in yellow.
These cases are the draws of two dimes and one nickel(NDD, DND, and DDN).
The probability is calculated as,

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