Please answer a-d it is one question and they are all related. I will upvote.

You have a quantum object that has two characterstics: color and shape. Color can be red or blue and the shape can be square or circle. You have a "black box" device that can sort the quantum objects. The quantum objects originate from a "wild" source such that there is a relatively even number of red and blue objects and square and circle objects. You should assume that each filter has one input and two outputs. (a) Given a the use of a filter that can discriminate between red and blue objects, what percentage of "wild sourced" objects would you expect to be red and blue? (b) Given only the output from the red output port on the filter, you again put these objects through another red/blue filter. What percent would you expect to exit the 2nd filter to be red? (c) Given only the output from the red output port on the first filter, you pump the objects through a square/circle filter. What percent of the objects would you expect to be circles? (d) Given only the output from the circle filter above, you attach yet another filter (third in line). This filter discriminates between red and blue. What percent of the output would you expect to be red