ECZ 2019 · GCE Paper 2 · Question 5 — Probability
Question from ECZ 2019 · GCE Paper 2 · Question 5
(a) Solve the equation 13 - 9x - 5x2 = 0, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Rearrange to standard form: 5x2 + 9x - 13 = 0, so a = 5, b = 9, c = -13.(b) Thirteen cubes of the same size numbered 1 to 13 are placed in a bag. If two cubes are drawn at random from the bag one after the other and not replaced, what is the probability that
(b(i)) both cubes are odd numbered,[2]
Verified working — step 1
Numbers 1 to 13 have 7 odd (1, 3, 5, 7, 9, 11, 13), drawn WITHOUT replacement.(b(ii)) only one is even numbered.[3]
Verified working — step 1
"Only one even" is (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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