VENN DIAGRAMS
canbeusedtorepresentstatisticaldata
Example rolling a dice
samplespace 5 1234 56
Events
E is throwing an even number
E
E
is throwing an odd number
is throwing a multiple of 3
EE
E is throwing a 5 E4 5
E is throwing a number greater than 6 E5
s NETnidEz are
mutuallyexclusive
El EZ cannothappenatsametime disjointsets
E
1 Ei andEc are exhaustive between
2 themtheycover theentiresample
6 3 E4 space
4 5 E andEz are complementaryevents
Es E E2 eyEd Eat
E3 intersectswith EI or EzandE4
intersectswithEz
Es is an impossibleevent
, UNIFYING INTERSECTING EVENTS
Example 1:
Event A: drawing an ace out of a pack of 52 cards
Event B: drawing a heart
Event C: drawing anything else
PS PS
A B A B
C C
Intersectingevents and unifiedevents or
AMB A intersects B AUB AunifiedwithB
A and B A or B or both
Example 2:
A B
C
AnB nc
canbeusedtorepresentstatisticaldata
Example rolling a dice
samplespace 5 1234 56
Events
E is throwing an even number
E
E
is throwing an odd number
is throwing a multiple of 3
EE
E is throwing a 5 E4 5
E is throwing a number greater than 6 E5
s NETnidEz are
mutuallyexclusive
El EZ cannothappenatsametime disjointsets
E
1 Ei andEc are exhaustive between
2 themtheycover theentiresample
6 3 E4 space
4 5 E andEz are complementaryevents
Es E E2 eyEd Eat
E3 intersectswith EI or EzandE4
intersectswithEz
Es is an impossibleevent
, UNIFYING INTERSECTING EVENTS
Example 1:
Event A: drawing an ace out of a pack of 52 cards
Event B: drawing a heart
Event C: drawing anything else
PS PS
A B A B
C C
Intersectingevents and unifiedevents or
AMB A intersects B AUB AunifiedwithB
A and B A or B or both
Example 2:
A B
C
AnB nc