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Correlation

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Spanning trees of a two-dimensional n-by-n grid graph

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The number of cars in the train

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Wine and Water

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Binary matrices with boundary filled by 1

(1) Three random variables: X, Y, and Z. If the correlation between X and Y is 0.5, the correlation between Y and Z is 0.6. What is the range of ...

Tags: correlation statistics

Given a graph G constructed from a two-dimensional n-by-n grid, what is the number of spanning trees of G?

A train is equally likely to have any number of cars from 1 to 100. You are put in one car at random, and it is car 5. In that ...

Tags: brainteaser probability

There are two glasses of the same size and shape, one containing water and the other containing wine. A man takes a spoon and transfers a spoonful of water from ...

Tags: puzzle brainteaser

Given a binary matrix A, i.e. each entry is either 1 or 0, design an algorithm to find a complete set

{A1, A2, ..., Ak} of sub-matrices of A ...