import std.conv, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex, std.typecons;
import core.bitop, core.thread;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) throw new EOFException; tokens = readln.split; } auto token = tokens[0]; tokens.popFront; return token; }
int readInt() { return readToken().to!int; }
long readLong() { return readToken().to!long; }
real readReal() { return readToken().to!real; }

void chmin(T)(ref T t, in T f) { if (t > f) t = f; }
void chmax(T)(ref T t, in T f) { if (t < f) t = f; }

int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(as.length); for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; }
int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a < val)); }
int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); }


int N;
real[] P;

void main() {
  try {
    for (; ; ) {
      N = readInt();
      P = new real[N];
      foreach (i; 0 .. N) {
        P[i] = readReal();
      }
      auto dp = new real[][](N + 1, N + 1);
      foreach (i; 0 .. N + 1) {
        dp[i][] = 0.0;
      }
      dp[0][0] = 1.0;
      foreach (i; 0 .. N) {
        foreach (j; 0 .. i + 1) {
          dp[i + 1][j] += dp[i][j] * (1.0 - P[i]);
          dp[i + 1][j + 1] += dp[i][j] * P[i];
        }
      }
      real ans = 0.0;
      foreach (j; 0 .. N + 1) {
        if (j > N - j) {
          ans += dp[N][j];
        }
      }
      writefln("%.10f", ans);
    }
  } catch (EOFException e) {
  }
}
