math
posted by Anonymous .
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has four letters followed by two numerals followed by two letters? (Round to the nearest whole percent.)

number of total plates including all possible repetitions
= 26^4*100*26^2 = 30 891 577 600 (wow, enough until cars become "extinct")
so what we don't want are cases where all letters and numbers are different, which would be
26*25*24*10*9*23*22 = 710 424 000
so prob with some kind of repeats
= 1  .710 424 000/30 891 577 600
= appr .9777 or 98% to the nearest percent 
The licence plate template is
XXXXNNXX
with 6 letters and two numbers.
The number of licence plates without repetition, i.e. without choosing a previously used character or number is
=26.25.24.23.10.9.22.21
=C(26,6)*C(10,2)
The number of licence plates without regard to repetition is
=26^6*10*2
The probability P1 of getting a licence plate without repetition is the first divided by the second.
The probability of getting a plate with repetition is 1P1. 
Sorry,
26.25.24.23.10.9.22.21
is not C(26,6)*C(10,2)
The rest of the calculations should be good. 
looks like this is the day for errors
I left out one of the letters in the first group of letters
should have said:
so what we don't want are cases where all letters and numbers are different, which would be
26*25*24*23*10*9*22*21 = 14 918 904 000
so the prob as asked in your question
= 1  14 918 904 000/30 891 577 600
= .517
Respond to this Question
Similar Questions

math
suppose a license plate for a car has 4 letters followed by 1 number and 3 more letters. The letters and numbers are chosen randomly. a. how many license plates are possible? 
algebra
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has three numerals followed by five letters followed by one numeral? 
stat
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has four letters followed by three numerals followed by two letters? 
ALGEBRA
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one numeral followed by two letters followed by four numerals? 
ALGEBRA
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one numeral followed by two letters followed by four numerals? 
Computers
In Python  A state creates license plates, each containing two letters followed by three digits. The first letter must be a vowel (A,E,I,O,U), and duplicate letters and digits are allowed. The second letter can be any letter of the … 
Math
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state in which license plates have one numeral followed by three letters followed by three numerals? 
Algebra
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state in which license plates have one numeral followed by three letters followed by three numerals? 
Math Help
In a certain state, each automobile license plate number consists of two letters followed by a fourdigit number. To avoid confusion between "O" and zero and between "I" and one, the letters "O" and "I" are not used. How many distinct … 
math
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one numeral followed by two letters followed by one numeral?