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

 The probability that the correct code is given on the first​ try, assuming that the owner​ doesn't remember it is

 Apr 20, 2021
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There are 9 possible numbers (1,2,3,4,5,6,7,8,9) that can be placed in 5 places.

N= 9^5 = 59049

 

1/59049 = 0.00169350878084%

 Apr 20, 2021

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