Exclusive and overlapping events on numbered discs
Exclusive and overlapping events on numbered discs
Secondary 4
6 marks
Twenty discs are numbered \(1\) to \(20\). One disc is taken at random. \(A\) is the event “a multiple of \(5\)”, \(B\) is “a prime number” and \(C\) is “a multiple of \(6\)”.
- Explain why \(A\) and \(C\) are mutually exclusive.[1]
- Find the probability of \(A\) or \(C\).[1]
- Explain why \(A\) and \(B\) are not mutually exclusive, and find the probability of \(A\) or \(B\).[2]
- Find the probability of neither \(A\) nor \(B\).[2]
Solution:
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Answer:(a) No number from \(1\) to \(20\) is both a multiple of \(5\) and a multiple of \(6\). (b) \(\frac7{20}\) (c) \(5\) is in both; \(\frac{11}{20}\) (d) \(\frac9{20}\)
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