Katkat
Back

Maximize Probability of Drawing Two Red Balls

OneMain FinancialData Scientist · Technical Screen
MediumData ScientistTechnical ScreenStatistics & Math

Last updated

This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Maximize Probability of Drawing Two Red Balls states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

Distributing 100 red balls and 100 blue balls into two baskets; one ball is drawn from each basket without replacement.

Question

How should the balls be allocated between the two baskets to maximise the probability that both drawn balls are red? Compute that maximum probability.

Hints

Let x be red balls in basket A, y in basket B; optimise P(red from A)×P(red from B).