Maths

>

A-Level

Probability

Question

If something is in neither A or B where does it go on the venn diagram?

3 years ago

·

24 Replies

·

7290 views

E

Emmanuel Dooley


24 Answers

D
Dhanush Vydyam

It goes outside the sets of A and B (the overlapping circles), but stays in the Venn diagram (within the box surrounding the Venn diagram)

J
Jake Collier

This event would be placed outside of the circles.

O
Olawanle Layeni

A Venn diagram gives a pictorial representation and relationship amongst sets. The entire 'space' depicted by a Venn diagram is referred to as the "Universal Set" which has all sets in context as subsets. 


In certain instances, the union of all sets depicted equals the Universal Set. In this case, an element must belong to at least one of the sets depicted.  


However, in some cases, the union of all sets depicted by the Venn diagram does not equal the Universal Set. This means that there are elements that are in the Universal Set but not in any of the other sets!


To answer your question, the latter scenario is pertinent. If the Universal Set consists only of sets A and B (asides from itself and the empty set), and "something" is neither in A nor B, then that "something" is in the Universal set and not in the union of A and B. This means the "something" is in the complement of the union of A and B is in the Universal Set. Pictorially, the "something" is put outside of the plane figures representing A, B but within the Universal Set.

A
Ayoade Okuboyejo

It goes outside the Venn diagram.

Manjit D Profile Picture
Manjit D Verified Sherpa Tutor ✓

Experienced GCSE and A level Maths teacher with 500 hours online

Outside the circles of the Venn diagram

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
Elithia S Profile Picture
Elithia S Verified Sherpa Tutor ✓

Upbeat Geography tutor for AQA, Edexcel, IB and SQA

you can have it floating out-with the diagram itself

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
H
Henry Soundy

On the outside of the circles

Robert D Profile Picture
Robert D Verified Sherpa Tutor ✓

I am an MEng Mechanical Engineering graduate.

It goes outside the venn diagram.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
M
Misbah Khan

It goes on the outside of the vent diagram but still inside the rectangle box

F
Fathaz Farook

If something is in neither set AAA nor set BBB on a Venn diagram, it belongs outside both circles representing sets AAA and BBB. In other words, it falls in the region outside the union of the two sets.

A
Adefuye Adetayo Olugbenga

The something will be outside the circles of A and B but will still be in the universal set.

Becca R Profile Picture
Becca R Verified Sherpa Tutor ✓

Enthusiastic and organised PhD Student and Maths Tutor

It will sit outside the main Venn diagram (outside of the circles) but still within the outer boundary.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
S
Sam Jermyn

In the area that is outside of both A and B.

J
Jack Szeto

Outside both sets A and B

M
Muhammad Khobaib Ijaz

If a element (say x) is neither in A nor in B for any universal set (say X), then "x" will goes into (AuB)' . And as (AuB)' = X - (AuB)

Think you can help?

More Maths A-Level Questions
Sherpa Badge

Need an A-Level Maths tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find an A-Level Maths Tutor