Year 12s: what will be the first way you research your future options? >>

S1 Venn Diagrams

2013-11-05 00_29_46-Adobe Flash Player.png

So, I have a three event Venn diagram. How do I use set notation to represent:
The probability: i) somebody gets all three items (B, C and G)
ii) B but not C and not G.
iii) G and B but not C
iv) none
is it:
i)

P(B \cap C \cap G)

ii)

P(B \cup C' \cup G')

iii)

P(B \cup C' \cup G)

iv)

P(B \cup C \cup G)'

Is this expected of me @ S1?
Does it matter if I swap the compliments around or the order of events in the set notation e.g.

P(C' \cup G' \cup B)

instead of

P(B \cup C' \cup G')

Reply 1

Liamnut

i) Yes
ii) No
iii) No
iv) Yes

Yes, it is expected at S1.

Think of the N as "and"
Think of the U as "or"

(edited 10 years ago)

Reply 2

ghostwalker

Just to clarify.

\displaystyle\cup\text{ union translates "and" or "but"}

Notice that "it's warm but it's raining", logically means the same as "it's warm and it's raining".

\displaystyle\cap\text{ intersect translates "or"}

Since

A\cup B=B\cup A

it doesn't matter which order you put the events in when they are all union'd together. Similarly if they are all intersect'd together. And this is true regardless of the number of events(sets), and whether they are complemented or not, since the complement of a event/set is just another event/set.

(edited 10 years ago)

Quick Reply

Latest

Articles for you

GCSE Science exams and revision: AQA explains what you need to do

Students who got A*s at A-level explain study, learning and revision tips that everyone can follow

Edexcel A-Level Economics Paper 1 - Unofficial Mark Scheme - 18 May 2023

It's not too late: 10 ways to kick-start your revision

S1 Venn Diagrams

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you