Find the Success Probability of Bold Betting

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Quick Overview

Calculate the chance of reaching five tokens before ruin under a bold, state-dependent betting rule. The solution enumerates the transitions, sets absorbing boundaries, solves the four-state recurrence for win probability one-third, and obtains 15/77 from an initial fortune of two.

Find the Success Probability of Bold Betting

Company: SIG (Susquehanna)

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: Online Assessment

Overview: Calculate the chance of reaching five tokens before ruin under a bold, state-dependent betting rule. The solution enumerates the transitions, sets absorbing boundaries, solves the four-state recurrence for win probability one-third, and obtains 15/77 from an initial fortune of two.

Read the full SIG (Susquehanna) Data Scientist interview experience this question came from

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SIG (Susquehanna)
Aug 16, 2026
easyData ScientistOnline AssessmentStatistics & Math
3
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