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DUE: 26 JUNE 2026
DISCLAIMER: 11
- THI$ DOCUME~ 15 FDlrREFERENCE ANDllUl f'NCE PURP SES
ACADEMIC MIS DNDUCT RESULTING FROM THEIR USE. IT I YOUR
RESPONSIBILITY T~ ENSU~E DRIGINAL~TY AN~ CDMPL!IANCE WITH
l ---
ONLY. I DD NOT TA E RESPDNSIBIL!ITY !FDR AN~ PLAGIARI M, ~MISUSE, DR
RELEVAr GUllr r s DR r TDT D, . l === l ~ l -....
, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY
SECTION A: FOUNDATIONS OF PROBABILITY
Question 1: Basic Understanding
1.1 Write down the theoretical probability of selecting each colour.
To find the theoretical probability, we first determine the total number of outcomes (total
marbles):
Total Marbles=3+4+2+1=10
ted:P(Red} =·i\(a-0$130%)
tn.,.....:p("D1H.:..}
~ ·~ ~ m= ii "" ~ · ~'° .
4 2 f;;.,_n:41 AnBf)
Greem·P(Green) =··fit•·=:¼ (oro~2, 2U%l
Yelow:P(Yelfuw} = ·fo .(c,r0~1 I 10%J
1.1.1 What is the probability of selecting an orange marble?
0
Answer: 0 (or / 0%)
10
Reasoning: It is an impossible event because there are no orange marbles in the bag.
1.2 Without calculating, rank the colours from most likely to least likely and justify your
reasoning.
Ranking: Blue → Red → Green → Yellow
Justification: The likelihood depends entirely on the quantity of each colour in the bag. Since
there are more blue marbles (4) than any other colour, it is the most likely. Red (3) is the next
highest, followed by green (2), and yellow (1) is the least likely because it has the fewest
marbles.
, 1.3 A Grade 6 learner says, “The probability of selecting a blue marble is 4.” Explain why this
statement is incorrect. Describe how you would help the learner understand probability values
using this marble activity.
Why the statement is incorrect:
Probability measures the chance of an event happening on a scale from 0 (impossible) to 1 (certain).
A probability of 4 is impossible because you cannot have a chance greater than 100%, nor can you
pull out 4 blue marbles if you are only selecting a single marble. The learner has confused the total
count of blue marbles with the probability of choosing one.
Pedagogical Intervention Strategy:
To help the Grade 6 learner understand, you can use a concrete, visual approach:
Use a Probability Line: Draw a number line ranging from 0 (Impossible) to 1 (Certain), with
1
marked as "Equally Likely". Show them that all probabilities must live on this line.
2
Concrete Visualisation: Place the actual 10 marbles on a table. Count them aloud with the
learner so they see the "whole" group (10).
Part-to-Whole Relationship: Point out the 4 blue marbles. Explain that the question is asking:
4
"What part of the whole collection is blue?" This guides them to see that it is 4 out of 10 ( ),
10
not just 4 on its own.
MSSIGNMENli 2
r r r r
ll!:I: Q~ES ll!INS Fl!ll:ft.YI ANf ~ERED
DUE: 26 JUNE 2026
DISCLAIMER: 11
- THI$ DOCUME~ 15 FDlrREFERENCE ANDllUl f'NCE PURP SES
ACADEMIC MIS DNDUCT RESULTING FROM THEIR USE. IT I YOUR
RESPONSIBILITY T~ ENSU~E DRIGINAL~TY AN~ CDMPL!IANCE WITH
l ---
ONLY. I DD NOT TA E RESPDNSIBIL!ITY !FDR AN~ PLAGIARI M, ~MISUSE, DR
RELEVAr GUllr r s DR r TDT D, . l === l ~ l -....
, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY
SECTION A: FOUNDATIONS OF PROBABILITY
Question 1: Basic Understanding
1.1 Write down the theoretical probability of selecting each colour.
To find the theoretical probability, we first determine the total number of outcomes (total
marbles):
Total Marbles=3+4+2+1=10
ted:P(Red} =·i\(a-0$130%)
tn.,.....:p("D1H.:..}
~ ·~ ~ m= ii "" ~ · ~'° .
4 2 f;;.,_n:41 AnBf)
Greem·P(Green) =··fit•·=:¼ (oro~2, 2U%l
Yelow:P(Yelfuw} = ·fo .(c,r0~1 I 10%J
1.1.1 What is the probability of selecting an orange marble?
0
Answer: 0 (or / 0%)
10
Reasoning: It is an impossible event because there are no orange marbles in the bag.
1.2 Without calculating, rank the colours from most likely to least likely and justify your
reasoning.
Ranking: Blue → Red → Green → Yellow
Justification: The likelihood depends entirely on the quantity of each colour in the bag. Since
there are more blue marbles (4) than any other colour, it is the most likely. Red (3) is the next
highest, followed by green (2), and yellow (1) is the least likely because it has the fewest
marbles.
, 1.3 A Grade 6 learner says, “The probability of selecting a blue marble is 4.” Explain why this
statement is incorrect. Describe how you would help the learner understand probability values
using this marble activity.
Why the statement is incorrect:
Probability measures the chance of an event happening on a scale from 0 (impossible) to 1 (certain).
A probability of 4 is impossible because you cannot have a chance greater than 100%, nor can you
pull out 4 blue marbles if you are only selecting a single marble. The learner has confused the total
count of blue marbles with the probability of choosing one.
Pedagogical Intervention Strategy:
To help the Grade 6 learner understand, you can use a concrete, visual approach:
Use a Probability Line: Draw a number line ranging from 0 (Impossible) to 1 (Certain), with
1
marked as "Equally Likely". Show them that all probabilities must live on this line.
2
Concrete Visualisation: Place the actual 10 marbles on a table. Count them aloud with the
learner so they see the "whole" group (10).
Part-to-Whole Relationship: Point out the 4 blue marbles. Explain that the question is asking:
4
"What part of the whole collection is blue?" This guides them to see that it is 4 out of 10 ( ),
10
not just 4 on its own.
