SOLUTION: Suppose a state's license plate contains 6 letters on it where the latters can be repeated. What is the probability that a license plate will contain the letters USA (in that order

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose a state's license plate contains 6 letters on it where the latters can be repeated. What is the probability that a license plate will contain the letters USA (in that order      Log On


   



Question 406770: Suppose a state's license plate contains 6 letters on it where the latters can be repeated. What is the probability that a license plate will contain the letters USA (in that order) somewhere in the 6 letters?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are only 4 ways to place the USA
The other three letters can be placed 26^3 ways
---
Total # of ways to succeed 4*26^3
----
Total unrestricted patterns 26^6
----
P(requested pattern) = (4*26^3)/(26^6) = 4/26^3 = 0.0002276
=======================
Cheers,
Stan H.
=================