How do I approach Coding & Algorithms interview questions?

Coding & Algorithms questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master coding & algorithms interviews.

What difficulty level is this interview question?

This is a Medium difficulty Coding & Algorithms question, commonly asked during Technical Screen rounds at Upstart.

What role is this question designed for?

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

Simulate Radioactive Decay to Validate Analytical Solution | Upstart Interview Question

Simulate Radioactive Decay to Validate Analytical Solution

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a candidate's ability to implement Monte Carlo simulations and validate analytical probability results, testing skills in stochastic processes, numerical estimation, and programming within the Coding & Algorithms domain for data scientist roles.

Upstart

Aug 4, 2025, 10:55 AM

Data Scientist

Technical Screen

Coding & Algorithms

Scenario

Same radioactive-decay problem, but now validate the analytical answer via simulation during the interview.

Question

Share screen and write runnable code (any language) that Monte-Carlo simulates the decay of 100 particles, repeats many trials, and estimates the survival probability computed above.

Hints

Generate exponential or Bernoulli survival, loop many trials, collect frequencies, compare to theoretical value.

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