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A combination lock has 40 numbers written on it. If you guess the correct 3 numbers...

A combination lock has 40 numbers written on it. If you guess the correct 3 numbers in order the lock will open.

A. What is the probability of opening the lock if its poorly made and you can land on the correct number +/- 1 and have it still work? I.e 17 becomes {16,17,18}

B. what is the probability of opening the lock if the combination is set to a birthday and (b) holds?  

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