2013 PJC P2 Q7
2013 PJC P2 Q7
8 marks
Prelims
In Haha College, \(70\%\) of the students watch the show Jogging man and \(60\%\) of the students watch the show Voice of me. \(40\%\) of those who do not watch the show Voice of me watch the show Jogging man.
Find the probability that a student chosen at random from the college
- watches both shows,[3]
- watches exactly one show,[2]
- watches the show Voice of me given that the student does not watch the show Jogging man.[2]
State, with a reason, whether the events ‘watches Jogging man’ and ‘watches Voice of me’ are independent.[1]
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Answer:(i) \(0.54\) (ii) \(0.22\) (iii) \(0.2\) \(J\) and \(V\) are not independent
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