Question: A combination lock opens when the right combination of three numbers from 00 to 59 is entered. The same number may not be used more

A combination lock opens when the right combination of three numbers from 00 to 59 is entered. The same number may not be used more than once. a) What is the probability of getting the correct combination by chance? b) What is the probability of getting the right combination if you already know one of the numbers and its position? c) Suppose this lock doesn't require "exact" numbers, in fact, if you are within the correct grouping of 5, it will unlock. (For example, if the combination was 02 - 24 - 37, you need to enter values between 00 and 05, then 20 and 25, finally 35 and 40). What is the probability of guessing the "correct" combination now

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