Question

Use a Venn Diagram. Let P(Z) = 0.51, P(Y) = 0.35, and P(Z UY)=0.72. Find each probability.

(a) P(Z' nY')
(b) P(Z' UY')
(c) P(Z' UY)
(d) P(ZnY')
(a) P(Z' nY')=
(Type an integer or a decimal.)

Answer 1

The best way to solve this is to draw out an actual Venn diagram and then calculate the corrected probabilities. Start with finding out P(ZnY) and then use that to find corrected probabilities of Z and Y. From there you can just refer to the Venn diagram and make simpler calculations.

I have solved everything with explanations in the image attached. Hope it helps!