Conditional probability and independenceEdexcel International A Level Maths: Mind map

Exam questions on Conditional probability and independence

1. A bag contains 5 red counters and 3 blue counters. Two counters are drawn at random, one after the other, without replacement.
   Find the probability that the two counters are of different colours.2 marks
2. Events $A$ and $B$ are such that $P(A)=0.5$, $P(B)=0.4$ and $P(A\cap B)=0.2$.
   Find $P(A\mid B')$.2 marks
3. Events $A$ and $B$ are independent, with $P(A)=0.3$ and $P(A\cup B)=0.58$.
   Find $P(B)$.3 marks