The deciding shot in a soccer game comes down to a penalty shot. If the goal-keeper jumps in one corner and the player shots the ball in the other, then it is a goal. If the goalie jumps left and the player shoots left, then it is a goal with probability 1/3. If the goalie jumps right and the player shots right, it is goal with probability 2/3.

If both players play Nash strategies, what is the expected value of goals that will follow from this penalty shot?

options:

	0
	1/9
	2/9
	3/9
	4/9
	5/9
	6/9
	7/9
	8/9
	1

Please give answer with proper explanation.