Thread: Probability Problem

Help please! Where do I start?
Amy and Bruce are playing a game where a player wins as soon as s/he has two points more than his/her opponent. Both players start at par and points are earned one at a time. If Amy has a 1/6 chance of winning each point, what is the probability that she will win the game? Answer as fraction reduced to lowest terms.

Originally Posted by sweeetcaroline

Help please! Where do I start?
Amy and Bruce are playing a game where a player wins as soon as s/he has two points more than his/her opponent. Both players start at par and points are earned one at a time. If Amy has a 1/6 chance of winning each point, what is the probability that she will win the game? Answer as fraction reduced to lowest terms.

Who starts first? Amy or Bruce? The answer depends on this.

That's all the question says so I guess do it for both cases?

Originally Posted by sweeetcaroline

That's all the question says so I guess do it for both cases?

I suppose so. But then you have to worry about what's the probability that Amy starts first .... I suggest you get clarification from your teacher as to what's expected and then let us know. Because I don't plan to spend time doing a calculation only to discover that it's a calculation for the wrong question.