Answer: [tex]\frac{1}{17576000}[/tex]
Step-by-step explanation:
Given: A state’s license plates consist of 3 letters followed by 3 numbers.
Since, there are 26 letters in English alphabet and 10 digits in set of numbers(0,1,....,9).
Then , the total number of license plates can be generated (if repetition is allowed)=
[tex]26\times26\times26\times10\times10\times10=17576000[/tex]
In AHW304, each alphabet and number occurs only once, the number of license plate with this = 1
Now, the probability of randomly generating a license plate that reads AHW 304=[tex]\frac{1}{17576000}[/tex]
