Selangor Trial 2025 Add Maths Paper 1, Question 12

Solved on video in English · 5:06 video

The question

(a)

In a survey carried out in a school, it was found that 1 out of 3 students have mobile phones. If 8 students are chosen at random, (a) state all the possible outcomes.

(b)

If 8 students are chosen at random, (b) calculate the probability that more than 2 students have mobile phones.

Selangor Trial 2025 Add Maths Paper 1, Question 12: the question as drawn in Eduly's video5:06

Part (a)

Step 1

Let X be the number of the 8 chosen students who have a mobile phone. X follows a binomial distribution with n = 8.

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

Final answer

X = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Where students lose marks

Watch out: 0 is a valid outcome, so the list starts at 0 and ends at 8. List values of X, not probabilities.

Part (b)

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

Final answer

P(X > 2) = 0.5318

Where students lose marks

Watch out: 'more than 2' means X > 2, not X ≥ 2. Use p = 1/3 (has a phone) and subtract from 1.

Watch every step of this question solved on video (5:06), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.

Questions are re-typeset by Eduly for study and commentary. Eduly is not affiliated with Lembaga Peperiksaan Malaysia or the Ministry of Education.