The chances that the 4 students win are:

• Daphne: 1/5
• Max: 6/25
• Mindy: 6/25
• Sam: 8/25

Someone always wins, although it might take more than one day. Note that Professor Rando only draws his numbers once, not each day, and also note that Professor Rando is twice as likely to draw any given set of 2 different numbers than he is to draw any given set of 2 identical numbers. We’ll leave out a more thorough explanation for now, since January’s puzzle also relates to Professor Rando.

Congratulations to everyone who submitted a correct solution this month, especially Neil Alberg, this month’s randomly-selected winner of a Jane Street t-shirt!