Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  2. Maths OCR
  3. Question bank

Conditional Probability

MediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798
Question 4
73%

A survey is conducted among 60 university students regarding which extracurricular clubs they have joined. They can choose from Art club (AAA), Biology club (BBB), and Chess club (CCC).

  • 4 students are in all three clubs
  • 10 students are in both Art and Biology clubs
  • 7 students are in both Biology and Chess clubs
  • 9 students are in both Art and Chess clubs
  • 32 students are in the Art club
  • 24 students are in the Biology club
  • 18 students are in the Chess club
a.

Draw a Venn diagram to represent this information.

[3]
b.

One of the students is selected at random. Given they are in the Art club, find the probability they are not in the Chess club.

[3]

Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /Conditional Probability