Players in a particular sports league are classified based on the amount of time they play as backups or starters. Players can also become seriously injured or they can retire from competition. Consider the following transition probability matrix.

a. What state(s) are absorbing states?
b. What percentage of current starters will eventually be injured?
c. Currently a team called The Sharks has eight backups and five starters. How many of the players do you expect to end up injured?Retired?

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Backup 0.4 0.1 Starter 0.4 0.5 Injured 0.1 0.15 Retired 0.1 0.25 Backup Starter Injured Retired