Calculate Probability of Heads in Coin Flip Experiment
Company: PayPal
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Onsite
##### Scenario
Statistics quick check during experimentation round
##### Question
A fair coin is flipped 10 times. Calculate
(a) the total number of possible outcome sequences,
(b) the probability of exactly 3 heads, and
(c) the probability of at most 3 heads.
##### Hints
Use binomial coefficients C(10,k) and probability (0.
5)^10.
Overview: This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Calculate Probability of Heads in Coin Flip Experiment states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.