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15 May, 04:37

A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive. What is the probability someone can guess the correct combination given 100 attempts?

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  1. 15 May, 07:16
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    you can repeat numbers

    3 numbers between 1 to 30 including 1 and 30

    that means (30-1) + 1=30 numbers

    3 slots that can be repeated

    so there are 30^3=27000 combinations

    in 100 attempts, hmm

    that is a 100/27000=1/270 chance or about 0.37% chance
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