In a certain game of chance, a square board with area 1 is colored with sectors of either red or blue. a player, who cannot see the board, must specify a point on the board by giving an x-coordinate and a y-coordinate. the player wins the game if the specified point is in a blue sector. the game can be arranged with any number of red sectors, and the red sectors are designed so that calculate the minimum number of red sectors that makes the chance of a player winning less than 20%.