A logistics operations analyst investigates parcels for two specific errors: Delayed Shipping (DDD) and Mislabeled Address (MMM). The probability that a parcel is delayed is 0.15. If a parcel is delayed, the probability that it is also mislabeled is 0.20. If a parcel is not delayed, the probability that it is mislabeled is 0.06.
Construct a tree diagram to represent this information, including all branch probabilities for DDD and MMM.
Find the probability that a randomly selected parcel has exactly one of these two errors: Delayed Shipping or a Mislabeled Address.
The analyst also notes that a parcel can suffer External Damage (EEE) with a probability of 0.10, and this flaw is independent of shipping delays or labeling errors.
Determine the probability that a randomly selected parcel has none of these three flaws.
Calculate the probability that a randomly selected parcel has exactly one of these three flaws.
140 exam-style questions on CCEA A Level Maths 4.4.1 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.