let's assume you have a sequence of 36 integers consisting of just 1's and 0's (i.e. 01010101..., 10000100... ). Can you construct a sequence such that every subsequence of length 5 is unique? Let's assume that you start with 00000. How would you construct it? (For instance, if you start with 00000100001..., then it's not valid since you have two subsequences (00001, 00001) of length 5 that are identical).
2 mental math questions, two probability questions. (1) If you have 4 coins, you toss them, what the expectation value of get heads, not you have a chance to redraw four coins one more time, what is your expectation (2) Two team has equal win probability, What is the probability that they go to series 7.
Compute the expected value of the median of rolling the dice three times
You have a lottery ticket with 10 slots. Behind each slot there's a equally distributed number between 0 and 1. Your payout is the maximum number between any of these slots. How much are you prepared to pay for the lottery ticket?
coin tosses, A wins if HTT, B wins if TTH, is this fair?
What is the covariance of x-y and x+y, given that x and y are IID.
We have two candles. The one burns in 2 hours the other burns in 1 hour (I am not sure about the numbers). At which time should we burn simultaneously these candles in order the one candle to have double the length of the other at 4pm?
142857 285714....
M,J,J,A,S,O, what is next?
what are the chances of getting a three of a kind (texas holdem)?
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