ECZ 2021 · O-Level Paper 2 · Question 1 — Probability

Question from ECZ 2021 · O-Level Paper 2 · Question 1

(a) Simplify a - 12a2 - 144.[2]

Verified working — step 1

a2 - 144 is a difference of two squares: (a - 12)(a + 12).

(b) A box contains 3 black and 2 white marbles of the same size. A marble is taken out at random from the box and not replaced. A second marble is then drawn. Calculate the probability that both marbles are

(b(i)) white,[2]

Verified working — step 1

5 marbles, 2 white, drawn WITHOUT replacement.

(b(ii)) of different colours.[3]

Verified working — step 1

"Different colours" is black-then-white or white-then-black:

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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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