Conditional Probability

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899
Question 4
Medium73%

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