Exactly One Event Occurs

A question is this type if and only if it asks for the probability that exactly one of two events occurs, requiring calculation of P(A ∩ B') + P(A' ∩ B).

1 questions

OCR Further Discrete AS 2023 June Q1
1 Jane wants to travel from home to the local town. Jane can do this by train, by bus or by both train and bus.
  1. Give an example of a problem that Jane could be answering that would give a construction problem. A website gives Jane all the possible buses and trains that she could use.
    Jane finds 7 possible ways to make the journey.
    • 2 of the 7 journeys involve travelling by train for at least part of the journey
    • 6 of the 7 journeys involve travelling by bus for at least part of the journey
    • Use the inclusion-exclusion principle to find how many of the 7 journeys involve travelling by both train and bus.