Three friends, Olga, Xin, and Yael, agree to meet in a perfectly circular park. Each friend...

 

Transcribed Image Text:

Three friends, Olga, Xin, and Yael, agree to meet in a perfectly circular park. Each friend is dropped off by a different taxi (independently) at a random point of the park's perimeter. Calculate the probability that all three friends get dropped off in the same semi-circle. Use the geometric method to figure it out: Treat the point where Olga got dropped off as the "origin". If you represent the park's circumference as a line (imagine stretching it out), where could Xin and Yael be dropped off, so that the three friends are in the same semi-circle? Three friends, Olga, Xin, and Yael, agree to meet in a perfectly circular park. Each friend is dropped off by a different taxi (independently) at a random point of the park's perimeter. Calculate the probability that all three friends get dropped off in the same semi-circle. Use the geometric method to figure it out: Treat the point where Olga got dropped off as the "origin". If you represent the park's circumference as a line (imagine stretching it out), where could Xin and Yael be dropped off, so that the three friends are in the same semi-circle?

Answer rating: 100% (QA)

To solve this problem using the geometric method we need to consider the possible locations where Xin and Yael can be dropped off such that they are i... View the full answer