Question

Find the property of choosing a number three points so that the time at the centre will not lie on the circle

Answer 1

Answer:

Step-by-step explanation:

An easier way to think about this problem is that this question is equivalent as 1- P(three point on the circle are within a semicircle). When the three points are within the semicircle, then the center will not be included in the triangle.

Let's now compute the probability part. Pick any point, say A, label the rest B,C. The probability that B and C are within the clockwise semicircle is 1/4. And we can pick A, B, and C as our starting point. Hence in total, the desired probability we would like to compute is 3/4. And the answer is 1-3/4 = 1/4.