Question

Points X and are endpoints of a diameter of OW. Point Z is Points X and are endpoints of (Tother point on the circle. Find the probability that ZXZY is a right angle.

Answer 1

Corrected Question

Points X and Y are endpoints of a diameter of Circle W. Point Z is another point on the circle. Find the probability that
`\angle` XZY is a right angle.

Answer:

Probability=1

Explanation:

Theorem

• If an Inscribed angle intercepts a semicircle, the angle is a right angle.

Given that X and Y are endpoints of a diameter of Circle W and point Z is on the circle's circumference.

I have prepared a diagram which is attached.

Then,
`\angle` XZY is an angle which intercepts a semicircle.

By the theorem above,
`\angle` XZY is a right angle.

Therefore, the probability that
`\angle` XZY is a right angle =1