Created from Youtube video: https://www.youtube.com/watch?v=hk9c7sJ08BgvideoConcepts covered:dice roll, successor, number theory, probability, honesty
In the riddle, the king's advisor must determine the most honest heir by evaluating their dice roll scores. After disqualifying those with impossible or highly improbable scores, Alexa is deemed the worthiest successor due to her achievable score.
Can you solve the cheating royal riddle? - Dan Katz
Concepts covered:dice roll, successor, number theory, probability, honesty
In the riddle, the king's advisor must determine the most honest heir by evaluating their dice roll scores. After disqualifying those with impossible or highly improbable scores, Alexa is deemed the worthiest successor due to her achievable score.
Question 1
Can Bertram's score of 840 be achieved?
Question 2
What makes a score impossible in this scenario?
Question 3
Cassandra's score is unlikely due to the low probability of rolling _____.
Question 4
CASE STUDY: After reviewing the scores, you need to explain to the king why certain contestants were disqualified. Use number theory and probability to justify your decisions.
Explain why Draco's score is impossible.
Question 5
Is Alexa's score of 385 possible?
Question 6
Why was Cassandra disqualified despite a possible score?
Question 7
The maximum possible score with 20 rolls is _____.
Question 8
CASE STUDY: As the chief advisor, you must determine the honesty of the contestants' scores. Each contestant rolled two dice 20 times and reported their scores. You need to decide who should be disqualified based on the probability and arithmetic rules.
Identify the incorrect score among the contestants.
Question 9
Is Draco's score of 423 a multiple of five?
Question 10
How can you verify a contestant's honesty?
Question 11
Draco's score is impossible because it is not a _____.
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