Question
A company sells bicycle locks with a combination made of 3 numbers. Each number can be any digit from 0 to 9 and the digits may be repeated.
One of these locks is chosen at random. What is the probability that the middle digit is 0?
One of these locks is chosen at random. What is the probability that the middle digit is 0?
Answers
GPT 3.5
There are a total of 10 possibilities for each digit in the combination (0-9), so there are a total of 10^3 = 1000 possible combinations for the lock.
Out of these 1000 combinations, there are 10 possibilities where the middle digit is 0: 001, 010, 020, 030, 040, 050, 060, 070, 080, 090.
Therefore, the probability that the middle digit is 0 is 10/1000 = 1/100 = 0.01 or 1%.
Out of these 1000 combinations, there are 10 possibilities where the middle digit is 0: 001, 010, 020, 030, 040, 050, 060, 070, 080, 090.
Therefore, the probability that the middle digit is 0 is 10/1000 = 1/100 = 0.01 or 1%.