# Math Help - Probability question

1. ## Probability question

I am having a tough time trying to solve problems like the following:

Player R has $2 and player S has$4. Each play gives $2 from one player to the other. Player R is better than player S and wins 2/3 of the time. Play continues until one is bankrupt. What is the chance player R wins? Any hints to solving this problem will be greatly appreciated? 2. Originally Posted by mathwiz2006 I am having a tough time trying to solve problems like the following: Player R has$2 and player S has $4. Each play gives$2 from one player to the other. Player R is better than player S and wins 2/3 of the time. Play continues until one is bankrupt. What is the chance player R wins?

Any hints to solving this problem will be greatly appreciated?
Hi,

This is a classic problem in probability called the "Gambler's Ruin". You can find it discussed here:

Gambler's ruin - Wikipedia, the free encyclopedia

See the section titled "Unfair Coin Flipping". If you still have questions after reading Wikipedia, post back and let us know where you are having trouble.