Observation

The Chief Examiner reported that this question was also attempted by majority of the candidates but their performance was poorer than expected.
In part (a), while majority of the candidates were reported to clear the fractions correctly, they did not simplify the resulting equation correctly.
They were expected to cross multiply to obtain my +mr – m = mr – yr + 2r. This simplified to my + yr = m + 2r which gave y = .
In part (b), the performance was reported to be poorer than in part (a). Majority of the candidates were reported to show poor understanding of probability. Candidates were expected to show that if 60% of girls own a bicycle, then probability of a girl owning a bicycle =  =  and probability of not owning a bicycle = 1 -  = . In the same way, probability of a boy owning a bicycle =  =  and probability that a boy does not own a bicycle = . Therefore, Probability that only one of them owns a bicycle = probability that a girl owns and a boy does not own or a boy owns and a girl does not own = ( × ) + ( × ) =  or 0.46.