SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Probability, STD2 EQ-Bank 2 MC

The Venn diagram shows information about 40 students and the subjects they study.
  

One student is selected at random.

What is the probability that the student studies Art but not Music?

  1. \(\dfrac{1}{8}\)
  2. \(\dfrac{1}{4}\)
  3. \(\dfrac{3}{8}\)
  4. \(\dfrac{1}{2}\)
Show Answers Only

\(C\)

Show Worked Solution

\(\text{Number studying Art but not Music} = 15\)

\(\text{Total students} = 15+5+10+10=40\)

\(P(\text{Art but not Music}) = \dfrac{15}{40} = \dfrac{3}{8}\)
  

\(\Rightarrow C\)

Filed Under: Venn Diagrams and Expected/Relative Frequency Tagged With: Band 3, smc-6936-10-Venn Diagrams, syllabus-2027

Copyright © 2014–2026 SmarterEd.com.au · Log in