A delivery company uses three depots to distribute packages. Depot X handles 50% of the packages, Depot Y handles 30%, and Depot Z handles 20%.
If a package is handled by Depot X, the probability that it is delivered late is 4%. If a package is handled by Depot Y, the probability that it is delivered late is 5%. If a package is handled by Depot Z, the probability that it is delivered late is 10%.
Draw a tree diagram to represent this information.
A package is selected at random. Find the probability that it is delivered late.
Given that the package is delivered late, find the probability it was handled by Depot Z.
Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 152 questions, 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.
