Calculate conditional probability for coin flips

Last updated: February 7, 2026

Quick Overview

Given the following scenario about revenue per session, calculate the the p-value.

CrowdStrike

Statistics & Math

Data Scientist

CrowdStrike

February 7, 2026

Data Scientist

Technical Screen

Statistics & Math

Medium

4,395 solved

Given the following scenario about revenue per session, calculate the the p-value.

Statistics questions at CrowdStrike test your ability to reason quantitatively and design rigorous experiments. This Technical Screen question evaluates your understanding of statistical inference and its application to business decisions.

What the Interviewer Expects

Set up the problem formally with proper notation
Apply the correct statistical test with clear justification
Interpret results with appropriate caveats and confidence levels
Discuss practical significance vs statistical significance
Identify potential confounders and how to address them

Key Topics to Cover

Probability distributions

Confidence intervals and significance levels

Causal inference basics

Central Limit Theorem

How to Approach This

Define your hypotheses (H0 and H1) clearly before performing any test.
Calculate required sample size BEFORE running an experiment, using power analysis.
Remember the Central Limit Theorem: sample means become approximately normal with large n.
Watch for Simpson's paradox. Always segment data by key dimensions.
Distinguish between statistical significance and practical significance.

Possible Follow-up Questions

How would you explain this result to a non-technical audience?
What alternative statistical method could you use here?
What assumptions does this test make, and how would you validate them?

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Sample Answer

Problem Formulation

To analyze the relationship between coin flips and revenue per session, we can define two events:

Let $A$ be the event that a session results in a revenue greater than a specified threshold (e.g...

Solution Approach

Determine $P(B)$ : Since the coin is fair, $P(B) = \frac{1}{2}$ .
Estimate $P(A \cap B)$ : Collect data on sessions where the coin flip was heads and calculate the proportion of...

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