Person A walks up an escalator at 2 steps/second. Person B walks up an escalator at 3 steps/second. Person B gets on the escalator 5 seconds after A and arrives at the top X seconds after A. (I forgot the exact value of X) If the escalator is moving at 1 step/second, how many steps are visible on the escalator at a single point in time?
Multiple questions about simple probability. The main problem to me was that time always felt short.
You have 10 chips and you want to split them into an arbitrary number of pots. You then take the product of the number of chips in the pots and maximize the product. Do this for 10, 20, and 100 chips.
What is the probability of odd number of heads in a sequence of coin flips if some coins are not fair.
Round 2: How you can create fair coin with an unfair coin? Is there any way I won't waste any of my flips during the process?
What is the angle between both hands on the clock at 9:40?
What is the expectation of a roll of a dice
The final round, they give you a bunch of "poker chips" and then rapidly give you a bunch of things to bet on.
Flip 4 coins every time, what's the expected number of times to get 4 H
I have a standard 52 card deck. One by one, I draw cards from the deck and place them face up in front of you (without putting them back). At any point, you may stop me and say a color. If the next two cards I draw both have that color, you win. Otherwise, you lose. What is the optimal strategy?
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