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Problem of the Week
Problem C
Diamond in the Rough

Using \(144\) diamonds, the \(12\) by \(12\) grid of diamonds below is created. One of the diamonds is coloured and labelled \(X.\)

The diamond in row 10, column 7 is coloured and labelled
X.

One of the other \(143\) diamonds in the grid is randomly chosen and is coloured in and labelled \(Y\). What is the probability the line segment connecting \(X\) and \(Y\) is vertical or horizontal?

Theme: Data Management