ACI2601
Assignment 4
Unique No: 883849
Due 15 August 2025
, ASSIGNMENT 04 (MANDATORY)
IMPORTANT: No extension will be granted for this mandatory assignment.
Due date: 15 AUGUST 2025
Unique number: 883849 Contribution to year mark: 25%
1.1 (Bag with 10 marbles: 3 red, 4 blue, 2 green, 1 yellow)
1.1.1 Theoretical probabilities
3
• P(Red) = = 0.300
10
4
• P(Blue) = = 0.400
10
2
• P(Green) = = 0.200
10
1
• P(Yellow) = = 0.100
10
1.1.2 Experiment (14 draws with replacement) recorded sequence and tally
I conducted 14 draws (with replacement) and recorded this sequence:
B, R, B, G, B, R, G, B, R, B, G, R, B, Y
Tally / Frequency:
• Red: 4
• Blue: 6
• Green: 3
• Yellow: 1 (Total = 14)
1.1.3 Experimental probabilities (count/14)
4
• P(Red) = = 0.285714 ≈ 0.286
14
6
• P(Blue) = = 0.428571 ≈ 0.429
14
Assignment 4
Unique No: 883849
Due 15 August 2025
, ASSIGNMENT 04 (MANDATORY)
IMPORTANT: No extension will be granted for this mandatory assignment.
Due date: 15 AUGUST 2025
Unique number: 883849 Contribution to year mark: 25%
1.1 (Bag with 10 marbles: 3 red, 4 blue, 2 green, 1 yellow)
1.1.1 Theoretical probabilities
3
• P(Red) = = 0.300
10
4
• P(Blue) = = 0.400
10
2
• P(Green) = = 0.200
10
1
• P(Yellow) = = 0.100
10
1.1.2 Experiment (14 draws with replacement) recorded sequence and tally
I conducted 14 draws (with replacement) and recorded this sequence:
B, R, B, G, B, R, G, B, R, B, G, R, B, Y
Tally / Frequency:
• Red: 4
• Blue: 6
• Green: 3
• Yellow: 1 (Total = 14)
1.1.3 Experimental probabilities (count/14)
4
• P(Red) = = 0.285714 ≈ 0.286
14
6
• P(Blue) = = 0.428571 ≈ 0.429
14