Page 18 - 1202 Question Bank Mathematics Form 4

Graph for Question 15

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Section C
[15 marks]
Answer any one questions from this section.
16. (a) A 5-digit number is written randomly using all (b) Teacher Ngu made a questionnaire about a
digits 1, 2, 3, 4 and 5. Find the probability that hobby against one school with 100 students. It
the number is the even number. [4 marks] was found that 45 of his students’ hobby were
Answer: reading, 21 students loved reading and listening
(a) to music, 10 loved listening to music and sporting,
7 students loved reading only and 5 students had
that three hobbies. Given the ratio of the number
of students loved listening to music only to the
number of students loved sporting only is 3 : 2.
(i) Draw a Venn diagram based on the
information provided. [5 marks]
(ii) Calculate the number of pupils who are
hobby to read or listen to music only.
[2 marks]
(iii) A student is selected at random, find the
probability that the students loved to read
and listen to music only. [2 marks]
(iv) A student is randomly selected, find the
probability that the students loved all three
hobbies. [2 marks]
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APaper 1202QB Maths Form 4.indd 113 17/02/2022 2:49 PM