MIP2602 ASSIGNMENT 04 2025 (750826) DUE 15 AUGUST 2025

MIP2602
ASSIGNMENT 04
UNIQUE NO: 750826
DUE 15 AUGUST 2025

,MIP2602

ASSIGNMENT 04

DUE 15 AUGUST 2025

UNIQUE NUMBER: 750826



SECTION A: PROBABILITY

Question 1

1.1.1 Theoretical Probability Calculation

We are given a bag containing marbles of different colours:

• Red marbles: 3

• Blue marbles: 4

• Green marbles: 2

• Yellow marbles: 1

Total number of marbles

𝑇𝑜𝑡𝑎𝑙 = 3 (𝑅𝑒𝑑) + 4 (𝐵𝑙𝑢𝑒) + 2 (𝐺𝑟𝑒𝑒𝑛) + 1 (𝑌𝑒𝑙𝑙𝑜𝑤) = 10



The theoretical probability P(E)of an event is calculated
Number of favourable outcomes
𝑃(𝐸) = Total number of outcomes

𝟏. 𝟏. 𝟏. 𝟏 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒐𝒇 𝒔𝒆𝒍𝒆𝒄𝒕𝒊𝒏𝒈 𝒂 𝑹𝒆𝒅 𝒎𝒂𝒓𝒃𝒍𝒆

3
𝑃(𝑅𝑒𝑑) = 310𝑃(Red) = 𝑃(𝑅𝑒𝑑) = 103
10

𝟏. 𝟏. 𝟏. 𝟐 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒐𝒇 𝒔𝒆𝒍𝒆𝒄𝒕𝒊𝒏𝒈 𝒂 𝑩𝒍𝒖𝒆 𝒎𝒂𝒓𝒃𝒍𝒆

4
𝑃(𝐵𝑙𝑢𝑒) = 410𝑃(Blue) = 𝑃(𝐵𝑙𝑢𝑒) = 104
10

, 𝟏. 𝟏. 𝟏. 𝟑 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒐𝒇 𝒔𝒆𝒍𝒆𝒄𝒕𝒊𝒏𝒈 𝒂 𝑮𝒓𝒆𝒆𝒏 𝒎𝒂𝒓𝒃𝒍𝒆

2
𝑃(𝐺𝑟𝑒𝑒𝑛) = 210𝑃(Green) = 𝑃(𝐺𝑟𝑒𝑒𝑛) = 102
10

𝟏. 𝟏. 𝟏. 𝟒 𝑷𝒓𝒐𝒃𝒂𝒃𝒊𝒍𝒊𝒕𝒚 𝒐𝒇 𝒔𝒆𝒍𝒆𝒄𝒕𝒊𝒏𝒈 𝒂 𝒀𝒆𝒍𝒍𝒐𝒘 𝒎𝒂𝒓𝒃𝒍𝒆
1
𝑃(𝑌𝑒𝑙𝑙𝑜𝑤) = 110𝑃(Yellow) = 10 𝑃(𝑌𝑒𝑙𝑙𝑜𝑤) = 101