SOLUTION: A push-button lock contains the digits 0 through 9. If the numbers may not be repeated, what is the probability you will correctly guess the 4 digit pass code. Type in answer as a

Algebra ->  Permutations -> SOLUTION: A push-button lock contains the digits 0 through 9. If the numbers may not be repeated, what is the probability you will correctly guess the 4 digit pass code. Type in answer as a      Log On


   

Question 1180295: A push-button lock contains the digits 0 through 9. If the numbers may not be repeated, what is the probability you will correctly guess the 4 digit pass code. Type in answer as a decimal or fraction in lowest terms.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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There are  10*9*8*7 = 5040 possible codes of this type, and only one of them is correct.


Therefore, the probability to guess the correct code from the first attempt is


    1%2F5040 = 0.000198413     ANSWER

Solved.