MIP2602 Assignment 3 solutions 2026
UNISA
DUE: 29 JUNE 2026
, SECTION A: FOUNDATIONS OF PROBABILITY
Question 1: Basic Understanding
A bag contains 3 red, 4 blue, 2 green, and 1 yellow marble.
Total marbles = 3 + 4 + 2 + 1 = 10
1.1 Write down the theoretical probability of selecting each colour.
3
𝑃(Red) =
10
4 2
𝑃(Blue) = =
10 5
2 1
𝑃(Green) = =
10 5
1
𝑃(Yellow) =
10
1.1.1 What is the probability of selecting an orange marble?
There are no orange marbles in the bag.
0
𝑃(Orange) = =0
10
Answer: 0
1.2 Rank the colours from most likely to least likely and justify your reasoning.
Most likely → Least likely
1. Blue (4 marbles)
2. Red (3 marbles)
3. Green (2 marbles)
4. Yellow (1 marble)
Justification:
The colour with more marbles has a greater chance of being selected. Blue has the
highest number of marbles and yellow has the fewest, making it the least likely
outcome.
UNISA
DUE: 29 JUNE 2026
, SECTION A: FOUNDATIONS OF PROBABILITY
Question 1: Basic Understanding
A bag contains 3 red, 4 blue, 2 green, and 1 yellow marble.
Total marbles = 3 + 4 + 2 + 1 = 10
1.1 Write down the theoretical probability of selecting each colour.
3
𝑃(Red) =
10
4 2
𝑃(Blue) = =
10 5
2 1
𝑃(Green) = =
10 5
1
𝑃(Yellow) =
10
1.1.1 What is the probability of selecting an orange marble?
There are no orange marbles in the bag.
0
𝑃(Orange) = =0
10
Answer: 0
1.2 Rank the colours from most likely to least likely and justify your reasoning.
Most likely → Least likely
1. Blue (4 marbles)
2. Red (3 marbles)
3. Green (2 marbles)
4. Yellow (1 marble)
Justification:
The colour with more marbles has a greater chance of being selected. Blue has the
highest number of marbles and yellow has the fewest, making it the least likely
outcome.
