in the venn diagram below, b and c are events in the sample space s. (note: for any event x, we use…

in the venn diagram below, b and c are events in the sample space s. (note: for any event x, we use $overline{x}$ to denote \not x.\) (a) shade b ∩ c. (b) shade b ∪ c.

in the venn diagram below, b and c are events in the sample space s. (note: for any event x, we use $overline{x}$ to denote \not x.\) (a) shade b ∩ c. (b) shade b ∪ c.

Answer

Explanation:

Step1: Recall intersection definition

The intersection $B\cap C$ is the set of elements that are in both $B$ and $C$. So we shade the overlapping part of the two circles.

Step2: Recall union definition

The union $B\cup C$ is the set of elements that are in either $B$ or $C$ or both. So we shade the entire area covered by both circles.

Answer:

(a) Shade the overlapping part of circles $B$ and $C$. (b) Shade the entire area covered by circles $B$ and $C$ (including the overlapping part).