106k views
1 vote
Consider an ergodic 5-state system. If the system is currently in state 3, what is the probability of being in state 5 in the long run (n→[infinity])?

User Sjlver
by
8.6k points

1 Answer

4 votes

Final answer:

The probability of being in state 5 in the long run for an ergodic 5-state system is 0.2. This is because all microstates are equally probable.

Step-by-step explanation:

An ergodic system refers to a system where every microstate is equally probable. In the case of a 5-state system, there are a total of 5 macrostates or possible states. To find the probability of being in state 5 in the long run, we need to determine the proportion of microstates that correspond to state 5.

Based on the provided information, it is equally probable to get 5 heads as it is to get 5 tails when tossing 5 coins. Therefore, the probability of being in state 5 in the long run is 0.2.

User Manhattan
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories