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Probability of Guessing a Combination Lock on the First Try

A typical "combination" lock is opened with the correct sequence of three numbers between 0 and 49 inclusive. (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try?

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The chances of guessing the first number is one out of 50 (0 to 49- so you have 50 possible numbers), or 1/50

Since we can repeat the same number in the ...

Solution Summary

115 words to explain and show the calculations to finding the probability that someone guesses the correct three numbers to open a combination lock.