brainteaser: 30 people are 15 couples. they shake hands, but two people of the same couple don't shake hands with each other. now you know 29 people shake hands with different numbers of people (e.g. one person shakes hands with 4 others, another person shakes hands with 5 people, etc). question: how many people did the 30th person shake hands with?
I flip a coin three times, and tell you I got heads on one of the flips. What's the probability I got 2 heads and one tails (not necessarily in that order).
How do you check if your regression parameters are significant? Given a number's prime number decomposition, how many ways are there of factorizing it into two different factors?
Two teams A and B played football twice. Two independent matches. The average shoot of A in match 1 is greater than B. The average shoot of A in match 2 is also greater than B. So can we say the average shoot of A is greater than B in two matches together? If so, why? If not, give me an example. -------- Failed to give the example, but I believe that the statement is not right.
Given a biased coin that flips heads 70% of the time, how can I use it to give a 50-50% random outcome?
What's the weight of each of five melons if their pairwise weights sum to 16,17,18,19,20,21,22,24,25, and 26?
I have 12 poker chips, we (two people) take it in turns to pick up one or two chips, you win if you don't pick up the last chip. What is the optimal strategy? Do you want to go first or second? What about if there were 150 chips?
100 Coins with 5 Pirates Puzzle was asked with Senior Pirates' vote counts variant to reach 50% votes
How many people do you need to have in a room before you know for sure 5 have been born in the same month
Q. 7x7 matrix which is symmetric, each column has numbers 1 to 7. Prob that diagonal has all numbers from 1 to 7? Q. Game of Nim. you can pick any number of rocks from 1 to 6, describe your winnning strategy Q. You have to go from 0,0 to 8,8 using E and N. number of ways to do so in which direction changes are even.
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