MIP2602
ASSSIGNMENT 3
ANSWERS 2026
MIP2602 ASSSIGNMENT 3 ANSWERS
2026
, MIP2602 ASSIGNMENT 03
Question 1: Basic Understanding
A bag contains 3 red, 4 blue, 2 green, and 1 yellow marble. Total marbles = 10.
1.1 Theoretical probability of selecting each colour
- Red: 3/10
- Blue: 4/10 = 2/5
- Green: 2/10 = 1/5
- Yellow: 1/10
1.1.1 Probability of selecting an orange marble
- 0 (orange marbles are not in the bag)
1.2 Without calculating, rank the colours from most likely to least likely and
justify
- Most likely: blue (because it has the most marbles)
- Next: red (second most marbles)
- Then: green (fewer marbles than red)
- Least likely: yellow (fewest marbles)
Rationale: With equally likely draws of each individual marble, the probability of
drawing a colour is proportional to how many marbles of that colour are in the bag.
ASSSIGNMENT 3
ANSWERS 2026
MIP2602 ASSSIGNMENT 3 ANSWERS
2026
, MIP2602 ASSIGNMENT 03
Question 1: Basic Understanding
A bag contains 3 red, 4 blue, 2 green, and 1 yellow marble. Total marbles = 10.
1.1 Theoretical probability of selecting each colour
- Red: 3/10
- Blue: 4/10 = 2/5
- Green: 2/10 = 1/5
- Yellow: 1/10
1.1.1 Probability of selecting an orange marble
- 0 (orange marbles are not in the bag)
1.2 Without calculating, rank the colours from most likely to least likely and
justify
- Most likely: blue (because it has the most marbles)
- Next: red (second most marbles)
- Then: green (fewer marbles than red)
- Least likely: yellow (fewest marbles)
Rationale: With equally likely draws of each individual marble, the probability of
drawing a colour is proportional to how many marbles of that colour are in the bag.