We will use the following mathematical notation in this quiz (we adopt LaTeX) For intersection, we will use cap For union, we will use cup For complement, we will use overline We will also use grouping operators () and to indicate precedence of operations Here are some examples E cap F is the intersection of events E and F E cup F is the union of events E and F (E cap F) cup G is the intersection of E and F, then taking the union of the result of with G overline E or overline E is the complement of E overline E cap F is the complement of the intersection of E and F, which is also the union of the complements of E and F by De Morgan's law overline E cup overline F

The Answer is in the image, click to view ...

Question: We will use the following mathematical notation in this quiz (we adopt LaTeX). For intersection, we will use cap. For union, we will use cup.

We will use the following mathematical notation in this quiz (we adopt LaTeX). For intersection, we will use \cap. For union, we will use \cup. For complement, we will use \overline{}. We will also use grouping operators () [] and {} to indicate precedence of operations. Here are some examples.

E \cap F is the intersection of events E and F
E \cup F is the union of events E and F
(E \cap F) \cup G is the intersection of E and F, then taking the union of the result of with G
\overline{E} or \overline E is the complement of E
\overline{E \cap F} is the complement of the intersection of E and F, which is also the union of the complements of E and F by De Morgan's law: \overline{E} \cup \overline{F}

Question: We will use the following mathematical notation in this quiz (we adopt LaTeX). For intersection, we will use cap. For union, we will use cup.

Step by Step Solution

Students Have Also Explored These Related Mathematics Questions!