ECZ 2019 · GCE Paper 2 · Question 5 — Probability
Thirteen cubes numbered 1 to 13 are placed in a bag; two cubes are drawn at random one after the other without replacement.
(a) Solve the equation 13 - 9x - 5x2 = 0, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Rearrange: 13 - 9x - 5x2 = 0 → 5x2 + 9x - 13 = 0(b(i)) What is the probability that both cubes are odd numbered?[2]
Verified working — step 1
Numbers 1-13: 7 odd (1,3,5,7,9,11,13), 6 even.(b(ii)) What is the probability that only one is even numbered?[3]
Verified working — step 1
'Only one even' means either (even then odd) or (odd then even).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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