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(a) Superior Construction Pte Ltd is a successful company dealing with many major projects in Singapore. Recently, it has submitted its biddings for two major Government projects.

Project A worth about $120 million and the company believes it has 40% chance of securing the project.

Project B worth $1.8 billion and there is 30% chance the company can win the project.

Both projects are independent of each other.

What is the probability that the company: will secure Project A or B but not both (3 marks) will not secure Project A or will not secure Project B (3 marks)

(b) Do you agree that "if two events are mutually exclusive then these two events will be independent"? Why? (5 marks)

(c) Provide one business-related example each, with explanation, for mutually exclusive and independent events. (4 marks)

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