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The Question Determines the Detail in a Sample Space

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The Mathematics of Maybe: Introduction to Probability · Sample spaces and events · 3:52

You'll learn: Refine an outcome description to match what is recorded.

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The Question Determines the Detail in a Sample Space

3:52

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The Question Determines the Detail in a Sample Space

You'll learn: Refine an outcome description to match what is recorded.

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Same topic

Sample spaces and events

5

List Every Possible Outcome Exactly Once
3:40
List Every Possible Outcome Exactly Once
You'll learn: Define a sample space S and its number of elements n(S).
An Event Is a Selection of Outcomes
3:44
An Event Is a Selection of Outcomes
You'll learn: Represent an event as a subset of the sample space.
One Sample Space Can Record Numbers or Colours
3:57
One Sample Space Can Record Numbers or Colours
You'll learn: List the requested integer outcomes and separate physical balls from colour categories.
Combine a Die Roll with a Coin Toss
3:44
Combine a Die Roll with a Coin Toss
You'll learn: Use ordered pairs to list the outcomes of two different random actions.
Use a Table to Organise Choices Without Missing Any
3:54
Use a Table to Organise Choices Without Missing Any
You'll learn: List combinations systematically and identify a selected subset.

Next topic

Tree diagrams and multi-step experiments

4

Build a Two-Toss Tree One Branch at a Time
3:46
Build a Two-Toss Tree One Branch at a Time
You'll learn: List paths from the first toss through the second toss and label complete outcomes.
Exactly One Head and At Least One Head Are Different Events
3:34
Exactly One Head and At Least One Head Are Different Events
You'll learn: Select complete paths that match the event wording.
Fruit Colours Can Give Unequal Tree Branches
3:46
Fruit Colours Can Give Unequal Tree Branches
You'll learn: Draw a weighted tree for one selection from each basket.
Find the Chance of Two Pens Having the Same Colour
3:55
Find the Chance of Two Pens Having the Same Colour
You'll learn: Use replacement to keep second-draw probabilities unchanged and combine matching-colour paths.

Next topic

Single-step probability applications

2

Count Even Cards and Balls That Are Not Red
3:39
Count Even Cards and Balls That Are Not Red
You'll learn: Identify favourable outcomes in simple uniform selections and interpret not-red.
Find Probabilities from the Repeated Letters of PEACE
3:41
Find Probabilities from the Repeated Letters of PEACE
You'll learn: Calculate events involving several target letters or excluding one letter.

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Chapter challenge problems

4

Read an Eight-Section Spinner
3:50
Read an Eight-Section Spinner
You'll learn: Count single and grouped favourable sectors.
Two Dice Need Thirty-Six Ordered Outcomes
3:49
Two Dice Need Thirty-Six Ordered Outcomes
You'll learn: Build a6×6 outcome grid and find a prime sum greater than 5.
Impossible and Certain Events with Two Dice
3:47
Impossible and Certain Events with Two Dice
You'll learn: Construct events with probability 0 and 1 from the full sample space.
List Three-Coin Outcomes and Count Exactly Two Heads
3:43
List Three-Coin Outcomes and Count Exactly Two Heads
You'll learn: Extend the tree to eight equally likely complete sequences.