Mary is playing a game where she flips a coin with probability of head = p. She wins $1 if the coins comes up heads, and looses $1 if it comes out tails. She starts with $3, and p=0.6. What is the probability that Mary will become go broke? In this case, assume that N=infinity. That is, compute the probability she wins an amount of money N and then let N go to infinity. How does that help you compute the probability

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Mary is playing a game where she flips a coin with probability of head = p. She wins $1 if the coins comes up heads, and looses $1 if it comes out tails. She starts with $3, and p=0.6. What is the probability that Mary will become go broke? In this case, assume that N=infinity. That is, compute the probability she wins an amount of money N and then let N go to infinity. How does that help you compute the probability she goes broke?

 

If she starts with 3 and all the money in play is N, we got a formula yesterday.
Note that the numerator will be fixed and the denominator will depend on N
 
Then let N go to infinity. 

 

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