An athlete suspected of having used steroids is given two tests that operate independently of each other. test a has probability
0.92 of being positive if steroids have been used. test b has probability 0.7 of being positive if steroids have been used. what is the probability that neither test is positive if steroids have been used?
To solve this, it might be easier to draw it out (see the picture below). I split it into two triangles and used trig functions to find the altitude. I used the big triangle to find theta, and the used theta to find the side of the altitude. *remember that sine= opposite/hypotenuse*