Acute Triangle Probability

Probability Level 4

A random number θ \theta is picked uniformly from (0,180) (0, 180) . Then, a random number ϕ \phi is picked uniformly from (0,180θ) ( 0 , 180 - \theta ) . Consider the triangle which has θ \theta and ϕ \phi as two of its angles. To the nearest tenth of a percent, what is the probability that this triangle is acute?

Details and Assumptions: If your answer is 12.3%, write 12.3 in the box.

×

Problem Loading...

Note Loading...

Set Loading...