The coefficients of the quadratic polynomial (a + 1)x2 + bx + c are decided from the outcomes of a fair coin, which is tossed three times. Specifically, if at the first toss the coin lands heads we put a = 1, otherwise we put a = 0. Similarly, b = 1 if at the second toss the coin lands heads (b = 0 otherwise) and c = 1 if at the third toss the coin lands heads (c = 0 otherwise). Find the probability that the polynomial has no real roots.