Conditional probability and tree and Venn diagramsEdexcel A-Level Maths: Mind map

Exam questions on Conditional probability and tree and Venn diagrams

1. Of 50 sixth-form students, 28 study Mathematics, 20 study Physics and 8 study both subjects. One of the 50 students is chosen at random.
   Given that the student studies exactly one of the two subjects, find the probability that it is Mathematics.2 marks
2. On any day, the probability that it rains is $0.3$. When it rains, the probability that a certain bus is late is $0.4$. When it does not rain, the probability that the bus is late is $0.1$.
   Given that the bus is not late, find the probability that it did not rain.2 marks
3. Events $A$ and $B$ are such that $P(A)=0.6$, $P(B)=0.5$ and $P(A\mid B)=0.4$.
   Find $P(A\cup B)$.3 marks