Calculate conditional probability for coin flips

Last updated: September 28, 2025

Quick Overview

Given the following scenario about revenue per session, calculate the the sample size needed.

Twilio
Analytics & Experimentation
Product Manager
Twilio
September 28, 2025
Product Manager
Technical Screen
Analytics & Experimentation
Hard

44

6

2,777 solved


Given the following scenario about revenue per session, calculate the the sample size needed.

This analytics question from Twilio's Technical Screen tests your ability to think critically about data. The interviewer expects you to consider confounding variables, selection bias, and the difference between correlation and causation.

What the Interviewer Expects
  • Design complex experimentation strategies for tricky scenarios
  • Handle multi-armed bandits, switchback experiments, and quasi-experiments
  • Address long-term effects vs short-term metrics
  • Propose causal inference methods when randomization is not possible
  • Build a measurement framework that connects metrics to business value
  • Discuss organizational experimentation culture and maturity
Key Topics to Cover
Network effects and interference
Guardrail metrics
Long-term vs short-term metrics
Segmentation and heterogeneous effects
How to Approach This
  1. Define success metrics carefully. A good metric is measurable, actionable, and aligned with business goals.
  2. Run experiments long enough to account for novelty effects and weekly seasonality.
  3. Use funnel analysis to identify where users drop off for maximum optimization impact.
  4. Segment results by key dimensions (platform, country, user cohort) to catch hidden patterns.
  5. Consider network effects and interference between treatment and control groups.
Possible Follow-up Questions
  • How would you handle an experiment where the control and treatment groups are different sizes?
  • How would you handle seasonality in your experiment?
  • What if you discover a bug in the logging during the experiment?
  • What if the experiment shows a positive short-term effect but you suspect a negative long-term impact?
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