Question: 5. General Probability (15) Two friends, Matt and Dave, play the following game. They toss a coin. If heads come, Matt gives Dave a dollar.

5. General Probability (15) Two friends, Matt and Dave, play the following game. They toss a coin. If heads come, Matt gives Dave a dollar. On the other hand, if tail comes, Dave gives Matt a dollar. They keep playing the game until one has lost all his money to the other. What is the probability that Matt will win the game if, initially, Matt has $3 and Dave has $2? Assume that the coin is fair

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