#include<stdio.h>

#define IN "dezastru.in","r",stdin
#define OUT "dezastru.out","w",stdout

int n,T,nr,sol[30];
double rez;
double prob[30];
int marc[30];

void citire()
{
	freopen(IN);
	scanf("%d%d",&n,&T);
	for(int i=1;i<=n;++i)
		scanf("%lf",&prob[i]);
}
void back(int k)
{
	if(k==T+1)
	{
		//for(int i=1;i<k;++i)
		//	printf("%d ",sol[i]);
	//	printf("\n");
		double rez1=1;
		for(int i=1;i<k;++i)
				rez1*=prob[sol[i]];
		rez+=rez1;
		++nr;
		return;
	}
	for(int i=sol[k-1]+1;i<=n;++i)
	{
		sol[k]=i;
		back(k+1);
	}
}
void afisare()
{
	freopen(OUT);
	printf("%.6lf\n",rez/nr);
}
int main()
{
	citire();
	back(1);
	afisare();
	return 0;
}