Oct 08, 2026 by Offer

SIG Expected Value Interview 2027: Basketball Shot Decision

Take the 2-pointer. Its win probability is 0.77 × 0.50 = 38.5%, which beats the 3-pointer's 37%. The framework: convert each option into a single expected win probability, then pick the higher one. This "sig basketball expected value question" question is commonly reported by candidates because it punishes gut instinct — most people blurt out the 3-pointer.

SIG Basketball Expected Value Question: What This Question Assesses

This tests whether you multiply through sequential probabilities correctly and resist narrative bias. The 3-pointer "wins the game" and feels decisive, but the question gives you everything needed to compute: option A's probability is stated directly (37%), while option B is a chain (77% to tie, then 50% in overtime). SIG wants traders who price compound scenarios, not ones who chase the dramatic outcome.

SIG Basketball Expected Value Question: How to Answer

Price option A. The 3-pointer wins the game with probability 37%. Done — no further steps.
Price option B as a chain. The 2-pointer first has to tie the game (77%), then win in overtime (50%). Multiply: 0.77 × 0.50 = 0.385, or 38.5%.
Compare. 38.5% > 37%, so the 2-pointer is the better decision — by a slim 1.5 percentage points.
State assumptions. Note that this assumes the given probabilities already account for everything (fouls, clock, defense) and that maximizing win probability is the objective.

Sample line: "The two is a compound event: 77% to force overtime times 50% to win it gives 38.5%, which edges out the three's 37% — so I take the two."

Common Mistakes

Forgetting to multiply the chain and comparing 77% directly against 37%.
Ignoring that 50% in overtime still requires getting there — the 2-pointer's probability must be discounted by the chance of missing.
Adding story instead of math, e.g. arguing about momentum or "clutch" factors when the question hands you the numbers.

Drilling these decision-tree comparisons is what separates candidates who survive SIG's probability rounds from those who guess on feel. Specific question formats may vary by role and region; check SIG's official careers page for the current process.

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FAQ

Should you take the 3-pointer or the 2-pointer in this SIG question? The 2-pointer: 0.77 × 0.50 = 38.5% win probability, slightly above the 3-pointer's 37%.

Why do so many people answer the 3-pointer? Because "win the game now" feels decisive. The question tests whether you override that instinct with the actual math.

Does this question appear in real SIG interviews? Expected-value decision questions of this style are commonly reported by candidates, though exact scenarios may vary by role and region.

What if the overtime win probability were different? Recompute the chain: the 2-pointer wins whenever 0.77 × P(OT win) exceeds 0.37, i.e. P(OT win) above about 48%.

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