A quality control engineer monitors a semiconductor fabrication process for two specific types of defects: alignment errors (EAE_AEA) and bonding errors (EBE_BEB).
Data from the production line indicates that: P(EA∩EB)=0.15P(E_A \cap E_B) = 0.15P(EA∩EB)=0.15 P(EA′∩EB′)=0.25P(E_A' \cap E_B') = 0.25P(EA′∩EB′)=0.25 P(EB)=2P(EA)P(E_B) = 2P(E_A)P(EB)=2P(EA)
Find P(EA)P(E_A)P(EA).
Calculate the conditional probability P(EB∣EA)P(E_B | E_A)P(EB∣EA).
Determine if the events EAE_AEA and EBE_BEB are independent.
Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 100 questions covering Set Notation, Conditional Probability, Conditional Probabilities in Venn Diagrams, Probability Formulae, and Tree Diagrams, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.