Slide the sliders at the bottom of the window to change the probabilities of A and of B.

[list][*]How would you adjust the P(A) and P(B) to make [math]P\left(B\cap A\right)[/math] as large as possible?[br][/*][*]How would you adjust the P(A) and P(B) to make [math]P\left(B'\cup A\right)[/math] as large as possible?[br][/*][*]How would you adjust the sliders so that exactly three of the joint probabilities at the ends of the branches are equal?[br][/*][*]How would you adjust the sliders so that exactly two of the joint probabilities at the ends of the branches are equal and the other two are not equal?[br][/*][/list]