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

Calculate Expected Flips for Two Heads Coin Toss | Experian Interview Question

Calculate Expected Flips for Two Heads Coin Toss

Last updated: Mar 29, 2026

Quick Overview

This question evaluates understanding of basic probability concepts—specifically expected value for discrete stochastic processes and conditional probability—testing competency in probabilistic reasoning, independence assumptions, and manipulation of event probabilities.

Experian

Aug 4, 2025, 10:55 AM

Data Scientist

Technical Screen

Statistics & Math

Probability Questions (Technical Screen)

Context

You are answering two independent probability questions commonly asked in a data science phone screen.

Questions

You repeatedly flip a fair coin (P(Head) = 0.5) until you have observed a total of two Heads (not necessarily consecutive). What is the expected number of flips?
Given P(A) = 0.30, P(B) = 0.50, and P(A ∩ B) = 0.15, compute P(A | B).

Solution

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