In a Certain City, the Democratic, Republican, and Consumer Parties

question 3

Multiple Choice

In a certain city, the Democratic, Republican, and Consumer parties always nominate candidates for mayor. The probability of winning in any election depends on the party in power and is given by the following transition matrix. ​ ​
Using the given transition matrix and assuming the initial-probability vector is , find the probability vector for the fourth stage of the Markov chain. (This initial-probability vector indicates that a Consumer is certain to win the initial election.)
​

---

Definitions:

Forms of Coercion

Various methods or techniques used to compel someone to act or comply against their will through force or intimidation.

Counseling

A professional service providing guidance, support, and problem-solving strategies to help individuals cope with personal, social, or psychological challenges.

Deadly Force

Employing force that has a high probability of resulting in death or significant injury.

Inmate Escape

The act of a prisoner leaving custody without permission, which can range from breaking out of a secure facility to walking away from a minimum-security setting.