Heather and isabelle play a two-person game which is won by the first person to accumulate 10 points. at each turn heather gains a point with probability of $\frac{2}{3}$ . if she doesn't get a point then isabelle gets a point. isabelle is now ahead 9 to 6. what is the probability that isabelle will win? express your answer as a common fraction.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?