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Section 6.2.1
Probability Models
Sample Space

The sample space S of random
phenomenon is the set of all possible
outcomes.
AP Statistics, Section 6.2, Part 1
2
Event
An event is any outcome or a set of
outcomes of a random phenomenon.
 That is, an event is a subset of the sample
space

AP Statistics, Section 6.2, Part 1
3
Probability Model

A probability model is a mathematical
description of a random phenomenon
consisting of two parts: a sample space S
and a way of assigning probabilities to
events.
AP Statistics, Section 6.2, Part 1
4
Multiplication Principle

If you can do one task in a number of
ways and a second task in b number of
ways, then both tasks can be done in a·b
number of ways.
AP Statistics, Section 6.2, Part 1
5
Sample Space: Rolling 2 Dice
1,1
1,2
1,3
1,4
1,5
1,6
2,1
2,2
2,3
2,4
2,5
2,6
3,1
3,2
3,3
3,4
3,5
3,6
4,1
4,2
4,3
4,4
4,5
4,6
5,1
5,2
5,3
5,4
5,5
5,6
6,1
6,2
6,3
6,4
6,5
6,6
AP Statistics, Section 6.2, Part 1
6
Sample Space: Flipping a Coin and
Rolling a Die
AP Statistics, Section 6.2, Part 1
7
Sample Space: Flipping 3 Coins
TTT
TTH
THT
HTT
THH
HTH
HHT
AP Statistics, Section 6.2, Part 1
HHH
8
Sample Space: Flipping 4 Coins
TTTT
TTTH
TTHT
THTT
HTTT
TTHH
THTH
THHT
HTTH
HTHT
HHTT
THHH HHHH
HTHH
HHTH
HHHT
AP Statistics, Section 6.2, Part 1
9
Assignment

Exercises: 6.11, 6.12, 6.14, 6.15, 6.16
6.18
AP Statistics, Section 6.2, Part 1
10
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