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 identical 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.