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Calculate Probability and Statistics for Dice Roll Outcomes

Boston Consulting GroupData Scientist · Online Assessment
EasyData ScientistOnline AssessmentStatistics & 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 Calculate Probability and Statistics for Dice Roll Outcomes states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

A casino analyst models dice rolls to understand outcome probabilities for marketing promotions.

Question

You roll a fair six-sided die 10 times. What is the probability of observing exactly 3 sixes? What is the expected number and standard deviation of sixes in those 10 rolls?

Hints

Use the Binomial distribution: n = 10, p = 1/6.