SOLUTION: please help me solve this problem. a computer password made up of four characters. Each can be a capital letter (A-Z)a lower case letter (a-z) or a digit (0-9). if the password is

Algebra ->  Permutations -> SOLUTION: please help me solve this problem. a computer password made up of four characters. Each can be a capital letter (A-Z)a lower case letter (a-z) or a digit (0-9). if the password is      Log On


   



Question 892187: please help me solve this problem.
a computer password made up of four characters. Each can be a capital letter (A-Z)a lower case letter (a-z) or a digit (0-9). if the password is randomly chosen, what is the probability that the password will only contain lower case letters? hint: use the multiplication rule to count the sample space and event space.
thank you =)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
All upper case - 26
All lower case - 26
Digits - 10
The total possible is then 62.
N%5Btot%5D=62%2A62%2A62%2A62
If all are lower case, then the total possible is only 26.
N%5Blc%5D=26%2A26%2A26%2A26
The probability of all lower case is then,
N=26%5E4%2F62%5E4=%2813%5E4%29%2F%2831%29%5E4=0.031