MIP2602 ASSIGNMENT 3 MEMO 2026
DUE 26 JUNE 2026
SECTION A: THEORETICAL AND EXPERIMENTAL PROBABILITY
Question 1: Basic Understanding
A bag contains: 3 red, 4 blue, 2 green, and 1 yellow marble.
1.1 Write down the theoretical probability of selecting each colour.
Bag contains 3 red, 4 blue, 2 green, 1 yellow marble. Total = 10 marbles.
1.1 Theoretical probability of each colour
P(Red)=103= 0.300
P(Blue)=410= 0.400
P(Blue)=104= 0.400
P(Green)=210= 0.200
P(Green)=102= 0.200
P(Yellow)=110= 0.100
P(Yellow)=101= 0.100
(Study Guide, p. 72 – formula for simple probability)
,1.1.1 Probability of selecting an orange marble
There is no orange marble in the bag.
P(Orange)=010=0P(Orange) = 100 = 0
Selecting an orange marble is impossible.
1.2 Rank colours from most likely to least likely without calculating
Order: Blue - Red - Green - Yellow
Theoretical probability is directly proportional to the frequency of each colour. Blue
appears most often (4 times), then red (3), then green (2), then yellow (1). Therefore
blue is most likely, yellow least likely.
(Study Guide, p. 71 – probability scale and likelihood)
1.3 Learner says: "The probability of selecting a blue marble is 4."
It’s incorrect:
Probability values must always lie between 0 and 1 (or 0% and 100%). A probability of 4
is greater than 1, which is impossible. It would mean 400% chance, certainty cannot
exceed 100%.
This help the learner:
Show the bag and marbles. Count blue marbles (4) and total (10).
Write the correct probability: 410=0.4104=0.4.
, Draw a probability scale from 0 to 1. Place 0.4 on it. Show that 4 is far to the right,
outside the scale.
“Probability is a fraction of the whole. The whole is 1. You cannot have more than the
whole.”
Let the learner write probabilities for each colour as fractions and decimals.
(Study Guide, p. 71-72 – probability scale and basic probability)
DUE 26 JUNE 2026
SECTION A: THEORETICAL AND EXPERIMENTAL PROBABILITY
Question 1: Basic Understanding
A bag contains: 3 red, 4 blue, 2 green, and 1 yellow marble.
1.1 Write down the theoretical probability of selecting each colour.
Bag contains 3 red, 4 blue, 2 green, 1 yellow marble. Total = 10 marbles.
1.1 Theoretical probability of each colour
P(Red)=103= 0.300
P(Blue)=410= 0.400
P(Blue)=104= 0.400
P(Green)=210= 0.200
P(Green)=102= 0.200
P(Yellow)=110= 0.100
P(Yellow)=101= 0.100
(Study Guide, p. 72 – formula for simple probability)
,1.1.1 Probability of selecting an orange marble
There is no orange marble in the bag.
P(Orange)=010=0P(Orange) = 100 = 0
Selecting an orange marble is impossible.
1.2 Rank colours from most likely to least likely without calculating
Order: Blue - Red - Green - Yellow
Theoretical probability is directly proportional to the frequency of each colour. Blue
appears most often (4 times), then red (3), then green (2), then yellow (1). Therefore
blue is most likely, yellow least likely.
(Study Guide, p. 71 – probability scale and likelihood)
1.3 Learner says: "The probability of selecting a blue marble is 4."
It’s incorrect:
Probability values must always lie between 0 and 1 (or 0% and 100%). A probability of 4
is greater than 1, which is impossible. It would mean 400% chance, certainty cannot
exceed 100%.
This help the learner:
Show the bag and marbles. Count blue marbles (4) and total (10).
Write the correct probability: 410=0.4104=0.4.
, Draw a probability scale from 0 to 1. Place 0.4 on it. Show that 4 is far to the right,
outside the scale.
“Probability is a fraction of the whole. The whole is 1. You cannot have more than the
whole.”
Let the learner write probabilities for each colour as fractions and decimals.
(Study Guide, p. 71-72 – probability scale and basic probability)
