Checking if 20 random booleans have the same value

I am trying to generate 20 random booleans and see if they have the same value i.e. either all true or all false. I expected the program to run for a while as the probability should be 1/(2^20) *100 * 2, which is something like 0.00019%.

However, I run my program (shown below) and it terminated extremely quickly, sometimes even take 1 loop. Is there something wrong in my program, or with my logic?

BigInteger bi = BigInteger.ZERO; 

    Random rand = new Random();

    while (true) {
        bi = bi.add(BigInteger.ONE);
        System.out.println(bi);

        boolean x = rand.nextBoolean();
        if (x == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            == rand.nextBoolean() == rand.nextBoolean()
            ) {

            System.out.print(x);
            return;
        }
    }