The events A and B are such that P(A)=516\displaystyle P(A) = \frac{5}{16}P(A)=165, P(B)=12\displaystyle P(B) = \frac{1}{2}P(B)=21 and P(A∣B)=14\displaystyle P(A|B) = \frac{1}{4}P(A∣B)=41.
Verify that P(A∩B)=18\displaystyle P(A \cap B) = \frac{1}{8}P(A∩B)=81
Verify that P(B′∣A)=35\displaystyle P(B'|A) = \frac{3}{5}P(B′∣A)=53
Verify that P(A′∪B)=1316\displaystyle P(A' \cup B) = \frac{13}{16}P(A′∪B)=1613
Determine whether the events A and B are independent, give a reason for your answer.
330 exam-style questions on Edexcel A Level Maths Conditional Probability, covering 2.1 Set Notation, 2.2 Conditional Probability, 2.3 Conditional Probabilities in Venn Diagrams, 2.4 Probability Formulae, and 2.5 Tree Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.