Set notation Flashcards
What is a set?
A collection of objects or numbers
What are the objects in a Set called?
Members or elements of the set
A = {1,2,3,4} means what?
Means set A with the elements 1,2,3,4
3 € (only one line) A means what?
Means 3 is an element/member of set A
curly E with a little dash on the tail means what?
Means the universal set. It is the set containing all elements, everything in the set.
Ø means what?
Means the empty set. A set with no elements.
Draw a vein diagram showing what AnB would look like
Only cross section is shaded
AnB means what?
A intersection B, where the two cross over. Everything that’s A and B
Draw a vent diagram showing AUB
Middle and both circles are shaded
What does AUB mean?
A union b, everything that’s either A or B
Draw a ven diagram showing A’
Middle and A circle aren’t shaded, B and universe is
What does A’ mean?
A complement, everything that’s Not A
a) List the elements of the following set: A - the factors of 24
b) true or false: i) 14 € A ii) 6 € A
A = {1,2,3,4,6,8,12,24}
I) false II) true
True or false: if set C is the empty set, then 0 € C
False, C = {}
Using set notation, list the elements of the set: P-The first four square numbers
P={1,4,9,16}
Using set notation, list the elements of the set: M - the first 3 prime numbers
M={2,3,5}
Using set notation, list the elements of the set: C-colours of the Union Jack flag
C={blue, white, red}
True or false? If T = {factors of 12}then:
a) 4€T
b) 5€T
c) T€2
a) true
b) false
c) false: ‘T belongs to set 2’
Draw a diagram and shade in AnB’
Only A shaded
A (and) intersection Not B
Draw a vent diagram showing (A)
A and cross section
Draw a venn diagram showing (A’)
B and outside universe
Draw a venn diagram showing AuB
A and B
Draw a venn diagram showing AuB’
Universe, a and cross section
‘A or not B’
Draw a venn diagram showing (AuB)’
Everything outside of A and B
Draw a venn diagram showing (B)
B and cross section
Draw a venn diagram showing (AnB)
Cross section only
Draw a venn diagram showing AnB’
A only
Draw a venn diagram showing A’nB’
Everything outside of A and B
Draw a venn diagram showing A’nB
B only
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
A = ?
{1,2,3,6,9}
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
B=?
{2,4,6,8}
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
AnB=?
{2,6}
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
AuB=?
{1,2,3,4,6,8,9}
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
A’=?
{8,5,4,7}
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
P(AnB)=?
2/9
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
P(AuB)=?
7/9
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
P(B’)=?
5/9
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
P(A’nB)
2/9
In A is the numbers 1,3,9. In cross section is 2,6. In B is 8,4. In outer universe is 5,7.
P[(AuB)’]=?
2/9
Draw a Venn diagram for the information:
Special E (universal)= {1,2,3,4,5,6,7,8,9,10}
A={multiples of 2}
AnB={2,6}
AuB={1,2,3,4,6,8,9,10}
Also work out P(B)
P(B) = 5/10 = 1/2
In outer Universe: 5,7
A: 4,8,10
Cross section: 2,6
B: 1,3,9
You have a Venn diagram. In Outer Universe is 0.1, A 0.2, cross section 0.3, B 0.4
Find the probability that A given B
0.3/0.7=3/7
You have a Venn diagram. In Outer Universe is 0.1, A 0.2, cross section 0.3, B 0.4
Find P(B|A)
(Probability of B given A)
0.3/0.5=3/5
An insurance company records 200 accident claims. The table shows the speed of the car and weather conditions during the accident
| wet| dry | total
Speeding | 11 | 21 | 32
Not-speeding | 77 | 91 | 168
Total | 88 | 112 | 200
Find the probability that the car is speeding given that it is wet
11/88 = 1/8
An insurance company records 200 accident claims. The table shows the speed of the car and weather conditions during the accident
| wet| dry | total
Speeding | 11 | 21 | 32
Not-speeding | 77 | 91 | 168
Total | 88 | 112 | 200
Find the probability that the car is not speeding given that it is dry?
91/112 = 13/16
