Events A A\,A and B B\,B satisfy P(A)=0.6P(A)=0.6P(A)=0.6, P(B∣A)=0.35P(B\mid A)=0.35P(B∣A)=0.35 and P(B∣A′)=0.35P(B\mid A')=0.35P(B∣A′)=0.35.
Find P(B)P(B)P(B).
Show that A A\,A and B B\,B are independent.
Find P(A∪B)P(A\cup B)P(A∪B).
Find P(A′∣B′)P(A'\mid B')P(A′∣B′).
164 exam-style questions on OCR (MEI) A Level Maths 2.3.10 Conditional probabilities (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.