ECZ 2018 · GCE Paper 2 · Question 5 — Probability

Question from ECZ 2018 · GCE Paper 2 · Question 5

(a) A box contains identical buttons of different colours. There are 20 black, 12 red and 4 white buttons in the box. Two buttons are picked at random one after another and not replaced in the box.

(a(i)) Draw a tree diagram to show all the possible outcomes.[3]

Verified working — step 1

Total buttons = 20 + 12 + 4 = 36, drawn WITHOUT replacement, so 35 remain.

(a(ii)) What is the probability that both buttons are white?[2]

Verified working — step 1

P(white, white) = (436)(335).

(b) Study the pseudo code below. Construct a flow chart corresponding to the pseudo code above.[5]

Diagram for part (b)

Verified working — step 1

Start, then input a, r, n.

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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