Thread: Markov Chain Limiting Probabilities (Just need answer checked please)

Three out of every four trucks on the road are followed by a car, while only one out of every five cars is followed by a truck . What fraction of vehicles on the road are trucks?

Let

state 0 represent seeing a truck
state 1 represent seeing a car

Then we have a probability matrix of







I just wanna make sure this is correct, and if not, what I'm doing wrong. Thanks

Originally Posted by downthesun01

Three out of every four trucks on the road are followed by a car, while only one out of every five cars is followed by a truck . What fraction of vehicles on the road are trucks?

Let

state 0 represent seeing a truck
state 1 represent seeing a car

Then we have a probability matrix of







I just wanna make sure this is correct, and if not, what I'm doing wrong. Thanks

Up until the very last step, the answer is 0.2/0.95=20/95 ~= 0.2105

CB

Thank you very much