ECZ 2023 · GCE Paper 2 · Question 3 — Probability

Question from ECZ 2023 · GCE Paper 2 · Question 3

(a) Express 91 - 4k - 81 - 3k as a single fraction in its simplest form.[3]

Verified working — step 1

Common denominator (1 - 4k)(1 - 3k):

(b) A girl has 7 green apples and 6 red apples in a bag. She picks one apple at random from the bag and eats it. She picks another apple and eats it.

(b(i)) Draw a tree diagram to illustrate all the possible outcomes.[2]

Verified working — step 1

13 apples: 7 green and 6 red, eaten WITHOUT replacement.

(b(ii)) What is the probability that the first apple eaten was green?[3]

Verified working — step 1

"First apple green" is decided at the FI…

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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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