SPM 2019 Add Maths Paper 1, Question 24Probability Distribution

Solved on video in English and Bahasa Melayu · 4 marks · Form 5, Probability Distribution · 5:53 video

The question

Diagram 10.1 shows a spinning wheel with 4 equal parts marked with different points (2, 3, 4, 5) used in a lucky draw in a supermarket. After spinning the wheel twice, customers who obtain at least nine points are given a chance to draw a ball randomly from a box shown in Diagram 10.2. A prize is given if a black ball is obtained. (a) Find the probability that a customer is qualified to draw a ball from the box. (b) A customer who obtains ten points but fails to draw a black ball is given the privilege of a second draw without replacing the first ball drawn. Find the probability that the customer will get the prize.

[4 marks]

SPM 2019 Add Maths Paper 1, Question 24: the question as drawn in Eduly's video5:53

Step 1

Each spin gives one of {2,3,4,5}, each with probability 1/4. Two spins give 4x4=16 equally likely outcomes.

4 more steps, each with the reason for it, in the full solution

Final answer

(a) 3/16, (b) 1/2

Where students lose marks

Watch out: in (a) list every pair once, no misses or repeats. In (b) the first draw already failed, so use only 2/4.

Watch every step of this question solved on video (5:53), with the reason behind each step and a box that checks your own answer.

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