SOLUTION: Cathy has a nickel, a dime, and a quarter in her purse. She randomly picks a coin, replaces it, and then picks another coin. The probability that the two coins are of different de

Question 1035174: Cathy has a nickel, a dime, and a quarter in her purse. She randomly picks a coin, replaces it, and then picks another coin.
The probability that the two coins are of different denominations is .
Found 2 solutions by Alan3354, robertb:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Cathy has a nickel, a dime, and a quarter in her purse. She randomly picks a coin, replaces it, and then picks another coin.
The probability that the two coins are of different denominations is
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The 2nd pick is 1 of 3 coins.
2 of the 3 are different than the 1st.
--> 2/3 probability.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The probability of picking a particular coin the first time is 1/3.
After replacement, the probability of drawing a different coin is 2/3.
Hence the probability that the two coins are of different denominations is (1/3)*(2/3) = 2/9.
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