Question

Myrtle has two white balls, two black balls, and two boxes. She may place the balls in the boxes in any way she pleases. Her husband, Max, will then pick a box without looking into it, and with his eyes closed, pick out a ball. If he picks out a white ball, the couple wins $500. How should Myrtle arrange the balls to maximize the probability of winning?

Answer 1

Step-by-step explanation:

Since she has two white balls and two black balls, with two boxes

And she can arrange the balls as she wishes, the way she can do it to maximize their probability of winning the $500 is to arrange the balls on top of each other, that is, the white balls should be on top of the blacks when she arranges them. This is so because, when the husband touches the ball, the first one he will pick, will be the on top, which is the white balls.