public class ScrabbleBet {
    public static void main(String[] arfs) {
        ScrabbleBet s = new ScrabbleBet();
        System.out.println(s.estimate(2,2,1,50));;
        System.out.println(s.estimate(10,10,5,25));
    }
    public double estimate(int trials, int games, int winsNeeded, int winChance) {
        double wc = (double)winsNeeded / 100.0;
        double prob = 0;
        for (int k = 0; k < winsNeeded; k++) {
            prob += Math.pow(wc, k) * Math.pow(1 - wc, games - k) * (fact(games)/(fact(k) * fact(games - k)));
        }
        return Math.pow(prob, trials);
    }

    private static long fact(int in) {
        long ans = 1;
        for (int x = 1; x <= in; x++) {
            ans *= in;
        }
        return ans;
    }
}