Given 6 point inside a square of side 10cm, what is the probability that their exist at least two points whose distance is less than 8cm?
Asked In: FICO
The logic of the solution is that if you draw 6 points inside a square of 10 cm then it’s sure that their are at least two points within 8cm. Imagine if you draw four points at the vertices of square then their distance between each other is 10 cm. Now you can’t draw the remaining two points such that the distance is less than or equal to 8 cm. Their should be at least two points whose distance is less than 8cm. so by simple observation the probability is 1.