# Binomial distribution

At the start of the tournament, each player plays the above game once. Players who earned more than $k proceed to the next round. Find the least value of k such that, in a random sample of 10 players, the probability that all 10 players proceed to the next round is less than 0.1. Let X be the number of blue balls drew. X~B(10, $\frac{1}{3}$) $[P(X>n)]^{10} < 0.1$ where $n=\frac{k}{0.50}$ $1-P(X$ $n) <0.794$ $P(X$ $n) > 0.206$ • April 14th 2012, 10:24 PM Punch Re: Binomial distribution Sorry! The missing part is: For each blue ball obtained, the player earns$0.50