4.6 Combined events and conditional probabilityIB Maths: Applications and Interpretation SL: Mind map

Exam questions on 4.6 Combined events and conditional probability

1. In a class of 30 students, 18 study Spanish ($S$), 12 study French ($F$) and 5 study both languages. A student is chosen at random from the class.
   Find the probability that a student studies French, given that the student studies Spanish.2 marks
2. A box contains 4 red and 6 yellow pencils. Two pencils are taken at random from the box, one after the other, without replacement.
   Find the probability that the two pencils are of different colours.2 marks
3. A sports club has 120 members. Of these, 70 play tennis ($T$), 50 play badminton ($B$) and 20 play both sports. A member is chosen at random.
   Find the number of members who play neither tennis nor badminton.3 marks