<image> As shown in the figure, three equally sized pieces of paper are prepared. Two of the pieces each have a semicircle of equal radius drawn on them, and one piece has a square drawn on it. These three pieces of paper are placed in a box and shuffled. Two pieces of paper are then drawn randomly. If a circle can be formed (both drawn pieces have semicircles), player A wins; if a mushroom shape can be formed (one piece has a semicircle and one piece has a square), player B wins. The question asks whether this game is ____ fair to both players (fill in "is" or "is not"); and if it is not fair, to whom is it advantageous (fill in "player A" or "player B").