2023 VJC P2 Q6
2023 VJC P2 Q6
6 marks
Prelims
It is known that in a certain country, \(30\%\) of the people support Party A; \(50\%\) of the people support Party B; and \(20\%\) of the people support Party C.
In the recent election, \(55\%\) of Party A supporters voted, as did \(86\%\) of the supporters of Party B and \(42\%\) of the supporters of Party C.
- One person is selected at random. Find the probability that
- the person voted,[2]
- the person is a supporter of Party B, given that the person voted.[2]
- Two persons are selected at random. Find the probability that exactly one of them voted.[2]
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Answer:(a)(i) \({0.679}\) (ii) \({0.633}\) (b) \({0.435918}\)
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