Question

In a house there are three key chains A, B and C; the first with five...

In a house there are three key chains A, B and C; the first with five keys, the second with seven and the third with eight, of which only one of each keychain opens the door to the storage room. A key ring is chosen at random and, from it, a key to open the storage room. It is requested:
a. What will be the probability of hitting the key?
b. What will be the probability that the chosen keychain is the third and the key does not open

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