How do I approach Machine Learning interview questions?

Machine Learning questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master machine learning interviews.

What difficulty level is this interview question?

This is a medium difficulty Machine Learning question, commonly asked during Technical Screen rounds at Hudson.

What role is this question designed for?

This question is commonly asked for Data Scientist candidates at Hudson during technical interviews.

Solve Dice Probability and Matrix Questions

Last updated: Jun 5, 2026

Quick Overview

This question evaluates probability reasoning for modular distributions of sums of independent dice and linear algebra competency regarding matrices whose rows and columns each sum to one.

Hudson

May 28, 2026, 12:00 AM

Data Scientist

Technical Screen

Machine Learning

Answer the following quantitative interview questions.

Six fair six-sided dice are rolled independently. Let S be the sum of the six face values.
- What is the probability that S is a multiple of 6, such as 6 or 12?
- Follow-up: What is the probability that S is a multiple of 7?
Let A be a finite m by n real matrix. Every row of A has entries summing to 1, and every column of A has entries summing to 1.
- Must A be a square matrix?
- Follow-up: Must A be invertible?
- Follow-up: Can such a matrix satisfy A^7 = 0?

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