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What is the probability that all locks are unlocked by choosing one key and one lock randomly at a time? Note: After correctly choosing a key to unlock a lock, the key is kept back with the other two keys while the lock is kept aside. So after unlocking first lock, I am left with just 2 locks to choose from but I have all the three keys to choose from.

Please give some explanation to your answer as well.

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Possible combinations are 3×2×1=3!=6 In which 1 is correct P(A)=1÷6=0.166