You and a friend play a game in which you each toss a coin. You score a point for each head and your friend scores a point for each tail. The first person to score ten points wins. The score is 8 to 6 in your favor. Describe a simulation that completes the game and use it to find an experimental probability that your friend will win.

Question

You and a friend play a game in which you each toss a coin.  You score a point for each head and your friend scores a point for each tail.  The first person to score ten points wins.  The score is 8 to 6 in your favor.  Describe a simulation that completes the game and use it to find an experimental probability that your friend will win.

anonymous · Answer

Hmmm, are decision trees valid as an answer?

anonymous · Answer

So in 2 plays there's a 1/4 (.25) chance that you've won, whereas there's a 3/4 (.75) chance that you haven't.
In 3 plays your chances of having won are .375, and having not won is the remainder .625.

So, I guess you could say that after two plays your chances of having won increase at .5/n where n is the number of plays
the 'y-intercept' is .25...?
Sure there's someone with a better idea about where this is going...probability was never my favourite subject, might have another look tomorrow.