Question

In the Venn diagram below, event A represents the adults who drink coffee, event B represents the adults who drink tea, and event C represents the adults who drink cola.

List the region(s) which represent the adults who drink both coffee and tea.


(Stats)

Answer 1

Regions 1 and 4

Explanation:

There are 2 overlapping regions for A (coffee) and B(tea)

These are Region 4 which represents the adults who drink both coffee and tea but not cola

and

Region 1 which represents the adults who drink coffee, tea and cola

So combined these two regions we get all adults who drink both coffee and tea

Answer 2

The regions that represent adults who drink both coffee and tea are region1 and region4.

What is a Venn diagram?

A Venn diagram is a visual representation of sets, using overlapping circles to illustrate the relationships between different groups. Shared and unique elements are depicted, aiding in logical analysis.

From the Venn diagram

Given

A is adults who drinks coffee

B is adults who drinks tea

C is adults who drinks cola

The regions that represent adults who drink both coffee and tea are

A∩B∩C = region 1

A∩B∩C' = region 4

Therefore, the regions that represent adults who drink both coffee and tea are region1 and region4.