If a red ball is chosen, it is removed. Any green ball that is chosen is returned to the urn. The selection process continues until all of the red balls have been removed from the urn. What is the...

If a red ball is chosen, it is removed.

Any green ball that is chosen is returned to the urn. The selection process

continues until all of the red balls have been removed from the urn. What is the mean duration of the game? (Please include transition Markov matrix and explanation)