Probability and Weighted Average Case | Dataford Interview Questions

Your question is Probability and Weighted Average Case. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

Problem

How would you solve a probability case and a weighted average question using graphs?

Explain how you would translate the information into a probability tree, outcome graph, or weighted-value chart. Show how probabilities are multiplied along sequential paths, added across mutually exclusive paths, and used as weights in an average.

Requirements

Define the events, outcomes, probabilities, values, and weights.
Describe the graph structure and label every relevant edge or node.
Calculate the requested probability and weighted average.
Validate that probabilities sum to 1 and explain the result clearly.

Assumptions

Use mutually exclusive outcomes where appropriate, distinguish conditional from unconditional probabilities, and normalize weights if they do not already sum to 1.

Your question is Probability and Weighted Average Case. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

How would you solve a probability case and a weighted average question using graphs?

Requirements

Define the events, outcomes, probabilities, values, and weights.
Describe the graph structure and label every relevant edge or node.
Calculate the requested probability and weighted average.
Validate that probabilities sum to 1 and explain the result clearly.

Assumptions

Use mutually exclusive outcomes where appropriate, distinguish conditional from unconditional probabilities, and normalize weights if they do not already sum to 1.