ECZ 2011 · O-Level Paper 2 · Question 5 — Probability
Question from ECZ 2011 · O-Level Paper 2 · Question 5
(a) A box contains 3 green apples and 5 red apples. An apple is picked from the box and not replaced then a second apple is picked. Expressing the answer as a fraction in its simplest form, calculate
(a(i)) the probability that both apples picked are green,[2]
Verified working — step 1
8 apples in total with 3 green, picked WITHOUT replacement.(a(ii)) the probability that the two apples picked are of different colours.[3]
Verified working — step 1
Different colours = green-then-red or red-then-green.(b) Solve the equation (2x - 1)(3x - 2) = 3, giving your answers correct to 2 decimal places.[6]
Verified working — step 1
Expand first: 6x2 - 7x + 2 = 3, so 6x2 - 7x - 1 = 0.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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