Completing a two-way table of streams and a music elective, then a joint and a conditional probability
Completing a two-way table of streams and a music elective, then a joint and a conditional probability
4 marks
A school has \(160\) students in one year group. \(72\) of them are in the science stream and the others are in the arts stream. \(50\) of the students take a music elective, and \(18\) of these \(50\) are in the arts stream.
- Copy and complete the table below.
Science stream Arts stream Total Music No music Total \(160\) - One student from the year group is chosen at random. Find the probability that the student
- is in the science stream and takes music;
- is in the arts stream, given that the student does not take music.
[4]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(a) Music: \(32,\ 18,\ 50\); No music: \(40,\ 70,\ 110\); Total: \(72,\ 88,\ 160\) (b)(i) \(\dfrac15\) (b)(ii) \(\dfrac{7}{11}\)
Need help? Join our JC Math tuition classes.
Learn more