Question 84
A box contains $10$ identical balls numbered $1$ through $10$. Their numbers correspond to the points in the figure, which divide the circle into ten equal parts. In the following parts, balls are drawn at random, one at a time, without replacement.
a) If two balls are drawn, what is the probability that their corresponding points determine a diameter?
b) If three balls are drawn, what is the probability that the corresponding points form a right triangle?
An inscribed angle is right if and only if its corresponding arc is a semicircle.
c) If four balls are drawn, what is the probability that the corresponding points form a rectangle?
a) If two balls are drawn, what is the probability that their corresponding points determine a diameter?
b) If three balls are drawn, what is the probability that the corresponding points form a right triangle?
An inscribed angle is right if and only if its corresponding arc is a semicircle.
c) If four balls are drawn, what is the probability that the corresponding points form a rectangle?