To determine the end behavior of a polynomial, graph it and look at the ends of the line. The ends include which direction the polynomial is facing upwards/downwards, and leftwards/rightwards. The degree will and leading coefficient play a role in this too. Refer to the Law of Signs.
The total number of squares is 36, and only 6 of them are shaded therefore, the remaining 30 are not shaded. The probability that a randomly selected square is not shaded would therefore be: