Football squares probability

I purchased10 football squares for my office pool. How can i calculate the likelihood of winning any one of the four prizes awarded? Each square carries a 1% chance for each quarter of the game, so shouldn't each square have an overall probability of winning any prize of 4%? And what would happen if i purchased 30 squares.......my overall probability couldn't possibly be 120% thanks for any help

$$P(A \cup B) \le P(A) + P(B)$$ , with equality iff $$A \cap B = \phi$$
The probability of winning with one square is the complement of losing all four quarters. This is equal to $$(1-0.01)^4$$ or approximately 0.961. The probability of winning would then be $$1-0.961=0.039$$, or 3.9%. The probability of winning with $$n$$ squares is the complement of losing all $$n$$ squares, or $$1-0.961^n$$. For 10 squares, this is approximately 0.331, or 33.1%. For 30 squares, this is approximately 0.701, or 70.1%.