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.
Quick Answer: This question evaluates understanding of basic combinatorics and the binomial probability model in the Statistics & Math domain, focusing on counting equally likely length-10 outcome sequences and computing exact and cumulative probabilities for independent Bernoulli trials.