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Find the Chance of Two Pens Having the Same Colour

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The Mathematics of Maybe: Introduction to Probability · Tree diagrams and multi-step experiments · 3:55

You'll learn: Use replacement to keep second-draw probabilities unchanged and combine matching-colour paths.

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Find the Chance of Two Pens Having the Same Colour

3:55

Playing

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.

Now playing

Same topic

Tree diagrams and multi-step experiments

3

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.

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.

Next topic

Chapter challenge problems

10

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.
Add a First-Coin Condition to a Three-Coin Event
3:48
Add a First-Coin Condition to a Three-Coin Event
You'll learn: Select only paths satisfying both conditions.
Without Replacement, the Second Draw Changes
3:50
Without Replacement, the Second Draw Changes
You'll learn: Update branch counts when the first selected ball is laid aside.
Find the Probability of Two Different Colours
3:45
Find the Probability of Two Different Colours
You'll learn: Combine all ordered different-colour paths or subtract same-colour probability from 1.
Compare Sample Spaces With and Without Replacement
3:47
Compare Sample Spaces With and Without Replacement
You'll learn: List numbered pairs and explain the presence or absence of repeated-number pairs.
Even Four-Digit Numbers Formed Without Repeating Digits
3:52
Even Four-Digit Numbers Formed Without Repeating Digits
You'll learn: List or organise equally likely arrangements and count those with an even last digit.
Guessing Exactly Two Correct Answers on Three Questions
3:59
Guessing Exactly Two Correct Answers on Three Questions
You'll learn: Organise correct/incorrect path patterns while retaining unequal branch probabilities.