I have a pocket of N=4 balls of different colors, say green, red, blue and yellow.
- You can draw as many times as you want
- After each draw, the ball will be put back to the pocket so that the chance of drawing each ball is always equal
- You need to pre-determine how many times you want to draw and must draw that many times even if you already drew a green ball
To win the game, your draws have to have at least one green ball and no red balls. How many times should you draw to maximize your winning chance?