Can you solve the cheating royal riddle? - Dan Katz

Summary by Krater

The video explains how to solve a dice-rolling logic puzzle by applying number theory and probability, concluding that Queen Alexa is the rightful successor after disqualifying the other contestants for impossible scores.

From the video

Answers: How do you solve the royal dice rolling logic puzzle?

• dice rolling puzzle
• probability calculations
• number theory
• logical deduction
• mathematical problem solving

What it concludes

• Bertram's score of 840 is disqualified because the highest possible total in 20 rolls is 700.
• Cassandra's score of 700 is disqualified because the probability of rolling the maximum on 40 separate occasions is 1 in 13 nonillion, making it statistically impossible.
• Draco's score of 423 is disqualified because the sum of any combination of the given dice always results in a multiple of 5, and 423 cannot be achieved.
• Alexa's score of 385 is a multiple of 5 and within the achievable range, making her the winner and rightful successor.