SOLUTION: 7. The door on the computer center has a lock which has five buttons numbered from 1 to 5. The combination of numbers that opens the lock is a sequence of five numbers and is rese

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Question 903661: 7. The door on the computer center has a lock which has five buttons numbered from 1 to 5. The combination of numbers that opens the lock is a sequence of five numbers and is reset every week.
(a) How many combinations are possible?
(b) What is the probability that the password of the lock
consists of same numbers?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a) 5%2A5%2A5%2A5%2A5+=+5%5E5
b) Probability of a number = 1/5. P(all the same) = (1/5)^5