Question

You are given three white​ balls, one red​ ball, and two identical boxes. You are asked to distribute the balls in the boxes in any way you like. You then are asked to select a box​ (after the boxes have been​ shuffled) and to pick a ball at random from that box. If the ball is red you win a prize. How should you distribute the balls in the boxes to maximize your chances of​ winning? Justify your reasoning.

Answer 1

Put all the white balls in one box and the red ball in the other so you have a 50% chance of winning if you put 1 red ball and a white now you have a 25% chance cause you have a 50% chance in choosing the right box then you have to chose the right ball which would be 50%