Binomial Distribution Probability
Probability Theory DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Binomial Distribution Probability, Binomial Coefficient, Factorial Calculation, Independent Events, Success Probability Parameter, Floating Point Precision, Probability Theory, Statistical Inference, Computational Mathematics, Discrete Mathematics, Stochastic Processes, Probability Mass Functions, Combinatorics, Bernoulli Processes, Numerical Computing, Random Variable Modeling.
Write a Python function to calculate the probability of achieving exactly k successes in n independent Bernoulli trials, each with probability p of success, using the Binomial distribution formula.