Slide the sliders P(A), P(B|A) and P(B|A') to change the respective probabilities.

[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'\cap 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][*][/*]