It is a very low probability because forty percent is purple
-π/2 < arctan(x) < π/2
So cos(π/2) < cos(arctan(x)) < cos(0)
0 < cos(arctan(x)) < 1
Francisca raises 76.50 and Elizabeth makes 43.50 together they makes 120
6 : 2/3.....multiply by 3
18 : 2...reduce
9:1 or 9/1