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osmarks 2025-03-19 13:26:57 +00:00 committed by wikimind
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* You have a 3 gallon jug and 5 gallon jug. How do you measure out exactly 4 gallons? Is this possible?
* You have 17 coins and I have 16 coins. We both flip the all coins at the same time. If you have more heads then you win; if we have the same number of heads or if you have less then I win. What's your probability of winning?
* What is the probability you draw two cards of the same color from a standard 52-card deck? You are drawing without replacement.
* You're in a room with three light switches, each of which controls one of three light bulbs in the next room. You need to determine which switch controls which bulb. All lights are off to begin, and you can't see into one room from the other. You can inspect the other room only once. How can you find out which switches are connected to which bulbs? Is this possible?
* You're in a room with three light switches, each of which controls one of three light bulbs in the next room. You need to determine which switch controls which bulb. All lights are off to begin with, and you can't see into one room from the other. You can inspect the other room only once. How can you find out which switches are connected to which bulbs? Is this possible?
* Find the smallest multi-digit prime number that is a palindrome with an even number of digits.
* Two sentient dice adjust their faces after each roll. If you roll a 4, your die subtracts 1 from its faces; your opponent’s die adds 1. What’s the optimal strategy to maximize the expected sum over three rolls?
* In world series, what are the odds it goes 7 games if each team equal chance of winning?