There were 3 types of coins that Xavier has. Coin A has fish icon on both sides. Coin B has star icon on both sides. Coin C has fish icon on one side and star icon on the other side. Xavier has 30 coin A's, 50 coin B's, and 40 coin C's. He put them into a box. Then, he took 2 random coins. After that, he flipped them. How many probabilities could Xavier get different icon on the 2 coins flipped?
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I got a different answer for the problem. My solution came to 70/144 which wasn't an option so I choose the one with the closest value to this. However, I don't think the answers to the problem are right.