This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: = if q p 6 = 1 if q p = 1 . 4. Let Q i be the probability that C ends up with all the money when G starts with i and C with Ni units. Then, by symmetry with the above situation, Q i = if p q 6 = 1 if p q = 1 . 5. So, if p q 6 = 1 , P i + Q i = , = , = , = . 6. Also, when p q = 1 , P i + Q i = , = . 7. So, we see that, with probability , either G or C will end up with all the money. I.e. there is probability of the game continuing indeﬁnitely....
View
Full
Document
This note was uploaded on 10/14/2010 for the course MATH 319 taught by Professor Clionagolden during the Spring '10 term at Bard College.
 Spring '10
 ClionaGolden
 Math, Statistics, Probability

Click to edit the document details