Ryan invented a game called "Magic 5" in which you get points if you get the same result multiple times in a row. He put two ide

ntical balls, one black and one white, inside a dark bag. The player must draw one ball at a time and replace it. The outcomes gain or lose points according to the following table: Same outcome as previous draw Different outcome than previous draw First Result -- -- Second Result +2 points -2 points Third Result +3 points -2 points Fourth Result +4 points -2 points Fifth Result +6 points -2 points What is the most probable outcome if you play this game? Use a mathematical proof to explain the previous answer.