License plates: In a certain state, license plates consist of three digits from 0 to 9  followed by four letters. Assume the numbers and letters are chosen at random. Replicates are allowed.   (c) If your name is Kemp, what is the probability that your name is on your license plate? Write your answer as a fraction or a decimal, rounded to at least  8  places. The probability that Kemp is on your license plate is    .

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License plates: In a certain state, license plates consist of three digits from 0 to 9

 followed by four letters. Assume the numbers and letters are chosen at random. Replicates are allowed.

 
(c) If your name is Kemp, what is the probability that your name is on your license plate? Write your answer as a fraction or a decimal, rounded to at least 
8
 places.

The probability that Kemp is on your license plate is 
 
.
 
 
 
Expert Solution
Step 1

The question is about counting theory

Given :

A license plate consist of 7 characters 3 digit and 4 letters and repetition is allowed

No. of digits from 0 to 9 = 10

No. of letters from A to z = 26

 

To find :

If name is Kemp, what is the probability that your name is on license plate? 

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