Two events EEE and FFF satisfy P(E∩F)=0P(E \cap F) = 0P(E∩F)=0. State the technical term used to describe the relationship between these two events.
A diagnostic test uses two separate chemical indicators, Alpha (AAA) and Beta (BBB), to detect a specific enzyme. Indicator AAA activates independently of indicator BBB.
The probability that indicator AAA activates is 34\frac{3}{4}43. The probability that at least one of the indicators activates is 1720\frac{17}{20}2017.
Determine:
P(B)P(B)P(B)
P(A∩B′)P(A \cap B')P(A∩B′)
P(A′∣B)P(A' | B)P(A′∣B)
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.