Which gas station should I use? "You are driving on a hwy and are running out of gas"

Which gas station should I use? "You are driving on a hwy and are running out of gas"

You are driving on a highway and are running out of gas. There are 3 upcoming gas stations. You need to stop at one of them, and you don't have the time to go backwards. However, the prices are different and randomly ordered (each of the 6 orderings is equally likely), and you don't know which will be the cheapest! You are only able to see each gas station's price if you stop at the station or pass by it.



You employ the strategy that maximizes your chance of picking the cheapest gas station. What is the probability that you pick the most expensive gas station?

I have the solution but want to give you folks a chance at having fun as well.