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1. (5 marks) From a group of 6 Canadians, 9 Australians and 5 Italians, exactly 3...

1. From a group of 6 Canadians, 9 Australians and 5 Italians, exactly 3 Canadians, 4 Australians and 2 Italians are to be selected to form a committee. How many different working committees can be formed if one specific Australian (named Charlotte) and one specific Italian (named Marco) refuse to work together (call this event A)?

5. Consider two manufacturing machines, A and B. It is known that machine A has a defect rate 3 times larger than machine B. Further, 65% of all defective items are produced from machine B. What percentage of all items are produced from machine B?   

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