SOLUTION: The access code for a garage door consists of three digits. Each digit an be 0 through 9 and each digit can be repeated.
a. Find the number of possible access codes.
b. What is
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Question 712634: The access code for a garage door consists of three digits. Each digit an be 0 through 9 and each digit can be repeated.
a. Find the number of possible access codes.
b. What is the probability of randomly selecting the correct access code?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a) There are 10^3 = 1000 different access codes.
b) The probability of selecting the correct access code is 1/1000 = 0.001 which is a 0.1% chance. The probability is small, but not small enough to make me safe (I would add more digits to make it safer). Basically, if 1000 people randomly picked a code to break in, then one would break in eventually. So if this is in a densely populated area, then the chances of break in would be much higher. This is why more digits are needed.
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