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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.

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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 [tex]\angle[/tex] XZY is a right angle.

Answer:

Probability=1

Step-by-step 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,  [tex]\angle[/tex] XZY is an angle which intercepts a semicircle.

By the theorem above,  [tex]\angle[/tex] XZY is a right angle.

Therefore, the probability that [tex]\angle[/tex] XZY is a right angle =1

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