20 points, the algebraic expression below in terms of a single trigonometric function.
csc ^2x-1

Csc²x - 1

1/sin²x  -  1

1/sin²x  -  sin²x / sin²x

(1 - sin²x) / sin²x

Recall that sin²x + cos²x = 1

So cos²x = 1 - sin²x

So we can replace numerator to cos²x

cos²x / sin²x
 
= cot²x

Final  cot²x

The probability of picking 2 green markers is 2/10