ExampleSet2 - More Sample Spaces and Set Notation Examples Example 1 Roll 2 dies one after the other and record the roll of the rst die and then

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
More Sample Spaces and Set Notation Examples Example 1 Roll 2 dies, one after the other, and record the roll of the Frst die and then the roll of the second die, a possible outcome is an ordered pair of two numbers and the sample space is Ω 1 = (1 , 1) , (1 , 2) ... (1 , 6) (2 , 1) , (2 , 2) ... (2 , 6) . . . . . . . . . . . . (6 , 1) , (6 , 2) ... (6 , 6) ±or this sample space, the order of the rolls matters - this gives us 36 elementary events, all of which have the same probability of occurring. Example 2 Alternatively, we could just record the outcomes of rolling the two dies at the same time. An outcome then has the form of a set of two numbers (in a set, the order of the elements does not matter, i.e. we can re-arrange them freely). This leads us to a slightly di²erent sample space: Ω 2 = { 1 , 1 } , { 1 , 2 } ... { 1 , 6 } { 2 , 2 } ... { 2 , 6 } . .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/01/2012 for the course STAT 330B taught by Professor Zhou during the Spring '11 term at Iowa State.

Page1 / 2

ExampleSet2 - More Sample Spaces and Set Notation Examples Example 1 Roll 2 dies one after the other and record the roll of the rst die and then

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online