SIG Interview Questions 2027: Full List & How to Answer

The answer is 5/36, or about 13.9%. Count the ordered pairs that sum to 6 — (1,5), (2,4), (3,3), (4,2), (5,1) — five favorable outcomes out of 36 equally likely ordered pairs. This style of SIG interview questions is commonly reported by candidates as a warm-up to check whether you count ordered outcomes instinctively instead of guessing.

SIG Interview Questions: What This Question Assesses

This question tests whether you define the sample space correctly. The trap is treating the 11 possible sums (2 through 12) as equally likely — they are not. SIG interviewers want to see you immediately recognize that each die is independent, so there are 36 equally likely ordered outcomes, and that enumeration skill matters more than the final decimal.

SIG Interview Questions: How to Answer

Work it step by step, narrating your logic out loud:

• Define the sample space. Each die has 6 faces and the dice are independent, so there are 6 × 6 = 36 equally likely ordered outcomes.
• Count favorable outcomes. List the ordered pairs summing to 6: (1,5), (2,4), (3,3), (4,2), (5,1). That is five.
• Divide. 5/36 ≈ 13.9%.
• Sanity-check. The most likely sum is 7 (6/36 = 1/6 ≈ 16.7%), so your answer for 6 should be slightly lower — 13.9% passes the smell test.

Sample line: "There are 36 equally likely ordered outcomes, and five of them sum to 6, so the probability is 5/36, roughly 14%."

Common Mistakes

• Counting unordered outcomes, e.g. treating (1,5) and (5,1) as one pair and answering something like 3/21.
• Assuming the 11 sums are equally likely and answering 1/11 — this is exactly the misconception the question screens for.
• Going silent on the arithmetic — interviewers grade the enumeration logic, so talk through the pairs even if the fraction is trivial.

Candidates who stumble on this warm-up rarely recover in the harder expected-value rounds that follow, so drill basic probability until the enumeration is automatic. Question styles may vary by role and region; confirm the interview format on SIG's official careers page.

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FAQ

What is the probability of rolling a sum of 6 with two dice? 5/36, or about 13.9% — five favorable ordered pairs out of 36 equally likely outcomes.

Why isn't the answer 1/11? Because the 11 possible sums are not equally likely. The 36 ordered pairs are equally likely, and sums near 7 have more combinations than sums near 2 or 12.

Are probability questions like this common in SIG interviews? Questions of this style are commonly reported by candidates interviewing for SIG trading roles, though the exact questions may vary by role and region.

How should I prepare for SIG's probability questions? Practice combinatorics, conditional probability, and expected value under time pressure. Speed and clean enumeration matter as much as getting the right number.

Preparing for SIG Susquehanna's interview? Our 2027 SIG Susquehanna Online Problem Solving | Coding Assessment Tutorials has practice questions and answers — $79 one-time, instant download.