ECZ 2016 · GCE Paper 1 — Probability

A target is a square piece of wood ABCD of side 50 cm. M and N are midpoints of AB and CD respectively, and O is the centre of the square. The diagonal from D to B is drawn, and the regions between the mid-line NM and the diagonal (triangle DNO above the centre and triangle OMB below it) are shaded. A bullet fired at the target lands at a random point. Expressing your answer in its simplest form, find the probability that it lands in the shaded region.

Verified working — step 1

A random hit means probability = shaded area over total area - so pin the two shaded triangles down with lengths.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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