Calculate conditional probability for coin flips
Last updated: May 7, 2026
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
Adobe
Statistics & Math
Data Scientist
Adobe
May 7, 2026Data Scientist
Phone Screen
Statistics & Math
Medium
6
6
2,616 solved
Given the following scenario about revenue per session, calculate the the p-value.
Adobe values data-driven decision making. This Phone Screen question assesses whether you can design experiments, interpret results correctly, and avoid common statistical pitfalls like p-hacking or Simpson's paradox.
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
Bayesian vs frequentist inference
Confidence intervals and significance levels
Power analysis and sample size calculation
Multiple testing correction (Bonferroni, FDR)
Central Limit Theorem
Conditional probability and Bayes 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
- What alternative statistical method could you use here?
- What if the sample size is very small?
- How would you handle multiple comparisons?
- How would you design a follow-up experiment based on these results?
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Browse Statistics QuestionsSample Answer
Problem Formulation
To analyze the revenue per session from coin flips, we need to define our parameters clearly. Let:
- : The null hypothesis that there is no difference in revenue per session between two group...
Solution Approach
- Data Collection: Gather revenue data from both groups of sessions.
- Calculate Means: Compute the mean revenue for both groups, ar{R}_C and ar{R}_T.
- *Standard Deviation...
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