(Solved): Suppose P(A) = 0.70, P(B) = 0.60, P(C) = 0.40, P(A B) = 0.80, P(A C) = 0.15, P(B ...

Suppose P(A?) = 0.70, P(B) = 0.60, P(C) = 0.40, P(A? ? B?) = 0.80, P(A ? C) = 0.15, P(B ? C) = 0.25, and P(A ? B ? C) = 0.10. Find the following probabilities. (a) P(A ? C) (b) P(A ? B) (c)P(A ? B ? C)

 

Exercise 2 Suppose \( \begin{array}{lll}P\left(A^{\prime}\right)=0.70, & P(B)=0.60, & P(C)=0.40, \\ P\left(A^{\prime} \cup B^{\prime}\right)=0.80, & P(A \cap C)=0.15, & P(B \cap C)=0.25, \text { and } \quad P(A \cap B \cap C)=0.10 .\end{array} \) Find the following probabilities. (a) \( P(A \cup C) \) (b) \( P(A \cap B) \) (c) \( P(A \cup B \cup C) \)