Nayland College, Nelson, co-educational high school ...
. Venn Diagrams: CONCEPTS .
All possible outcomes (total of 1)
Complement of A = A’
P(A) + P(A’) = 1
A’ is everything that is NOT A
In Intersection of A [pic] B
In both A and B at the same time
In Union of A [pic]B
In either A or B or Both
. Venn Diagrams B .
Mutually Exclusive
Events cannot happen at the same time
P(A [pic] B) = 0
Examples:
If mutually exclusive then the Union of A [pic] B
P(A [pic]B) = P(A) + P(B)
Multiple events are probable!
Venn Diagrams &
Two way tables
are interchangeable…
| |Smartphone |No Smartphone |Total |
|Face Book User | | | |
|Not use FB | | | |
|Total | | | |
| |Male |Female |
|Social Sport | | |
|Serious Sport | | |
|No Sport | | |
. Using two-way tables .
| |NZ Passport |None |
|Drivers License | | |
|None | | |
1) Is having a NZ passport & Drivers license mutually exclusive? Explain
2) What is the probability of having at least one of the two documents?
3) What is the probability of having a NZ passport & Drivers license?
|(Today) |Wallet |None |
|Smartphone | | |
|Cellphone | | |
|None | | |
1) Wallet & Smartphone mutually exclusive?
2) P(Either a Wallet or Smartphone)
3) P(both a phone & wallet)
4) P(neither)
-----------------------
B
A
B
A
A
A’
B
A
S
FB
Injury
Mtb Crash
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Mtb Ride
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