Outside a home there is a 9keypad numbered 1 through 9 The c

Outside a home, there is a 9-keypad numbered 1 through 9. The correct five-digit code will open the garage door. The numbers can be repeated in the code.

A) How many codes are possible?

B) What is the probability of entering the correct code on the first try, assuming that the owner doesn\'t remember the code?

Solution

a)

There 9*9*9*9*9 = 59049 codes. [ANSWER]

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b)

He has a chance of 1/59049 = 0.0000169351 [ANSWER]