Question

Fifty students in Year 10 study the subjects of Maths and Music Thirty students study

Maths, 25 study Music and 10 study both.
(a) Represent this data on a two-way table.
Do
Maths
Don't do
Maths
邮
Do
Music
Don't do
Music
3
50
(b) Find the probability that a student:
(i)
does not study both Maths and Music
(ii) does study Maths or Music.

Answer 1

Let’s say M stands for math and m stands for music (I don’t know you need specific letters but let’s just say that for now)

A)
M M’
m 10 25 35
m’ 13 2 15
23 27 50

B)
I)
students that don’t study both math and music:
2/50 simplify that to 1/25: 1/25 students don’t do both math and music

II) students that study both: 10…
10/50 simplify that to 1/5