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Mathematical probability geometry
Set the newspaper delivery time to x? The moment people leave is y.

X is between 6 and 8 o'clock? Y is from 7 to 9.

Form a square with a side length of 2 and an area of 4.

The so-called can't see the newspaper means that the time when people leave is less than the time when they deliver the newspaper, which is Y.

That is, the area under y=x in a square is an isosceles right triangle with waist length of 1 and area of 1/2.

So the probability is P=( 1/2)/4= 1/8.

The figure is as follows: