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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