In each game a gambler wins the dollars he bets with probability p and looses with probability 1 − p. If he has less tha
Posted: Thu Apr 28, 2022 8:03 am
In each game a gambler wins the dollars he bets with probability
p and looses with probability 1 − p. If he has less than $3, he
will bet all that he has. Otherwise, since his goal is to have $5,
he will only bet the difference between $5 and what he has. He
continues to bet until wither he has either $0 or $5. Let Xn denote
the amount he has right after the n-th bet. Draw the transition
graph.
p and looses with probability 1 − p. If he has less than $3, he
will bet all that he has. Otherwise, since his goal is to have $5,
he will only bet the difference between $5 and what he has. He
continues to bet until wither he has either $0 or $5. Let Xn denote
the amount he has right after the n-th bet. Draw the transition
graph.