Hand Full of Dice

What this probability question tests

This is a medium-difficulty probability question that appears in quant interviews to assess how candidates think about compound events and parity. Rather than relying on brute-force enumeration, the cleanest approach uses logical reasoning about when a product is even versus odd.

The problem rewards candidates who recognize that a product's parity depends on the parity of its factors, and who can therefore rephrase the question in simpler terms. This kind of insight—reframing a problem to avoid unnecessary computation—is valued across trading desks and quant shops.

• Parity reasoning and divisibility
• Independence and complement events
• Simplifying probability via logical structure rather than enumeration