SOLUTION: The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated. 1) The number of possible access codes is? 2) The prob

Algebra ->  Probability-and-statistics -> SOLUTION: The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated. 1) The number of possible access codes is? 2) The prob      Log On


   



Question 291632: The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated.
1) The number of possible access codes is?
2) The probability of randomly selecting the correct access code is (rounded to the nearest thousandth)?
3) The probability of not selecting the correct access code is (round to the nearest thousandth)?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The access code for a garage door consists of three digits. Each digit can be 2 through 8 and each digit can be repeated.
1) The number of possible access codes is?
2 thru 8 --> 7 possibilities
7%5E3+=+343
343 possible codes
----------------
2) The probability of randomly selecting the correct access code is (rounded to the nearest thousandth)?
1 out of 343 = 1/343 =~ 0.003
----------------------------
3) The probability of not selecting the correct access code is (round to the nearest thousandth)?
That's 1 minus the probability of getting it.
= 1 - 1/343
=~ 0.997