# Fighting Fish

**Discrete Mathematics**Level 3

You have 5 gold fish, 4 Siamese fighting fish and 1 deadly baby piranha in 10 different containers, which are all separated from the main fish tank by the trap doors. Swimming together, gold fish are harmless while the fighting fish will only attack their own kind. On the other hand, the ravenous piranha will devour everything in its way!

If you let 3 fish out of the containers randomly, what is the probability (in percentage) that no fish will be injured or dead?

Give your answer to the nearest integer.

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