How can you identify one ball of a different weight from 12 balls using a balance scale three times?
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What is the average speed for two rounds of a race driven at different speeds? First one at 100 mph, while second round for 200 mph.
Why might you end up dining with your girlfriend 90% of the time if you take the first subway train that arrives, given that trains to downtown and uptown run at the same intervals?
How do you construct a 50% probability event with a biased coin, and what strategies can minimize the flips needed, for this and any bias?
What’s the optimal distribution of marbles between two drawers to maximize the chance of drawing a red marble?
Can the product of two covariance matrices AB be a covariance matrix, especially if AB=BA?
What’s the probability that a table with three legs randomly placed on a round disk will stand when flipped?
Two friends, Alice and Bob, plan to meet at a café. They agree to arrive between 1:00 PM and 2:00 PM. However, they did not set a specific time to meet; instead, each of them will arrive at a ...