Find the Expected Number of Consecutive Chosen Pairs
Company: SIG (Susquehanna)
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Online Assessment
Overview: Find the expected number of adjacent integer pairs in a uniformly chosen six-element subset of 1 through 35. The solution uses 34 indicators, computes each pair's inclusion probability, applies linearity despite dependence, and simplifies the expectation to 6/7.
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