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 drawDifferent outcome than previous drawFirst Result----Second Result+2 points-2 pointsThird Result+3 points-2 pointsFourth Result+4 points-2 pointsFifth 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.