Chapter 4.4, Problem 4E

Experiment I An experiment can result in one of five equally likely simple events, $E_1,E_2,\mathrm{....}{E}_5$. Events A, B, and C are defined as follows. Use these events to answer the questions in Exercises 1−6.

$\begin{array}{l}A:E_1,E_{3}P\left(A\right)=.4\\ B:E_1,E_2,E_3,E_4,E_{5}P\left(B\right)=.8\\ C:E_3,E_{4}P\left(C\right)=.4\end{array}$

4. Use the Addition and Multiplication Rules to findthese probabilities:

a. $P\left(A\cup B\right)$   b. $P\left(A\cap B\right)$   c. $P\left(B\cap C\right)$

Do the results agree with those obtained in Exercise 1?