Given four uniform variables iid on [0,1], we connect the first two and connect the last two to form line segments. What is the probability that these segments overlap?
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2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.
Do you know Bezout's theorem?
Why add l2 penalty to linear regression.
Where in the earth or a sphere, you can return to the same place once you walk 1 mile to south, 1 mile to east and 1 mile to north?
If you are playing tennis and are at deuce with your rival, how would you choose to proceed? There are two options: keep playing deuce rule until you or your rival wins. Or you play 3 mini points rule, who win 2 points wins the game. Assume you winning rate is 0.7 i.i.d at each point, which rule would you pick?
What can we deal with OLS when high dimension, high correlation and some other flaws in data ?
Given three bowls, one with two blue balls, one with two red balls, and one with a red ball and a blue ball, what is the probability of pulling a blue ball from the same bowl given that you have already pulled one blue ball from that bowl?
If you had an array of 1 million values and you had to remove duplicates, how would you do it?
the expected number of flips to see 2 heads from a series of fair coin tosses
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