Here is a solution to get the max value in about 99% of runs (change the 0.01 to get a better result):
public static double getMax(double[] vals){
final double[] max = {Double.NEGATIVE_INFINITY};
IntStream.of(new Random().ints((int) Math.ceil(Math.log(0.01) / Math.log(1.0 - (1.0/vals.length))),0,vals.length).toArray())
.forEach(r -> max[0] = (max[0] < vals[r])? vals[r]: max[0]);
return max[0];
}
(Not completely serious)