Calculate dice game win probability

Q: Calculate dice game win probability

This question evaluates understanding of probability theory, conditional probability, and stochastic processes in the context of a dice game with tie rerolls. Commonly asked in the Statistics & Math domain, it assesses the practical application of probabilistic reasoning for repeated or potentially infinite-trial scenarios rather than only rote conceptual definitions.

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Statistics & Math questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master statistics & math interviews.

Question

Dice Game With Tie Rerolls: Probability You Eventually Win

Context

Three players each roll a fair standard 6-sided die.
The highest roll wins.
If there is a tie for the highest number, only the tied players re-roll; this repeats until there is a single winner.

Question

Your two friends have both rolled a 4. You now roll next. What is the probability that you eventually win the game?

Calculate dice game win probability

Dice Game With Tie Rerolls: Probability You Eventually Win

Context

Question

Solution

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