Egg Drop Problem Strategies

The video presents a scenario where a jewel thief plans to steal a Fabergé egg from a 100-story museum. To determine the highest floor from which an egg can be dropped without breaking, she uses two replica eggs. The video explains the strategy of dropping the first egg at calculated intervals to narrow down the critical floor, then using the second egg for precise testing. The optimal solution involves starting at the 14th floor and adjusting intervals to minimize the number of drops needed, ensuring the thief can find the highest safe floor in a maximum of 14 attempts.

What is the main challenge the thief faces in stealing the Fabergé egg?

• Finding a way to enter the museum undetected

• Avoiding the museum's security guards

• Determining which egg is the most valuable

• Ensuring the egg survives a drop from a high floor

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CCSS.RL.11-12.3

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What is the thief's ultimate goal in the heist?

• To distract the guards with broken eggs

• To break as many eggs as possible

• To find the most valuable egg that can survive a drop

• To steal the egg from the top floor

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CCSS.RI. 9-10.1

CCSS.RI.11-12.1

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CCSS.RL.7.1

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What does the thief learn from the museum's gift shop?

• The eggs are made of glass

• The eggs are replicas

• The eggs are perfectly worthless

• The eggs are all identical

Why does the thief decide to use two replica eggs?

• To sell them in the black market

• To test which floors are safe for dropping

• To practice her heist skills

• To confuse the security guards

What is the thief's plan if the first egg breaks?

• To give up the heist

• To call for backup

• To use the second egg to test each floor in the interval

• To try a different building

What is the disadvantage of using large intervals between drops?

• It requires more time to execute

• It increases the risk of being caught

• It may require many tests with the second egg

• It makes the eggs more likely to break

What is the maximum number of tries needed if the thief uses intervals of 10 floors?

• 10

• 15

• 19

• 25

How does the thief improve her strategy with the use of intervals?

• By using decreasing intervals

• By using intervals of the same size

• By using increasing intervals

• By using random intervals

Why is it important for the thief to minimize the number of drops?

• To save time

• To conserve energy

• To reduce the risk of being caught

• To avoid damaging the eggs

What is the optimal number of drops required to find the critical floor?

• 14

• 12

• 10

• 16