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2.3.10 Conditional probabilities (A-level only)

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Question 14

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%.

a.

Draw a tree diagram to represent this information.

[3]
b.

A package is selected at random. Find the probability that it is delivered late.

[2]
c.

Given that the package is delivered late, find the probability it was handled by Depot Z.

[3]

2.3.10 Conditional probabilities (A-level only) Questions

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