Likelihood Ranking - probability ordering drill
Which of these is more likely?
Given a table, a set of distributions, or a handful of dice, card and urn events, order them from most likely to least. The screen question, in drill form.
By concordant pairs, not exact position: for every pair of events, did you put the more likely one above the other? Getting the shape of the ordering right earns most of the credit even when one item is out of place.
About Likelihood Ranking
Order outcomes from most to least likely - student score tables, distributions, dice and card events, Poisson arrivals, urns, and scatter plots.
Each round is 8 questions. A question presents a scenario - a table of student test scores, a set of distribution statements, dice/card/urn events, Poisson arrival counts, or a labelled scatter plot - and a shuffled list of options to arrange from MOST LIKELY to LEAST LIKELY. You reorder the list with up/down move buttons, then submit; the reveal shows the correct order and your pairwise agreement before the next question.
Every question has its own time limit, shown as a countdown - when it hits zero your current arrangement is submitted as-is, so a half-sorted list still earns whatever partial credit it deserves. The pool mixes hand-curated questions with procedurally generated ones regenerated on every menu visit, filterable by category and by Warm-up / Interview / Hard difficulty.
Scatter questions render a real plot with axis values and dashed threshold guide lines - they are reading-and-counting exercises over labelled points.
Why quant interviews test this
"Which of these is most likely?" is one of the most common probability screen formats because it tests intuition without arithmetic cover: a candidate who truly understands distributions can order outcomes faster than one who can only compute. Ranking under a clock rewards the comparison habits - dominance, mode-distance, counting ways - that interviewers probe with follow-up questions.
The pairwise scoring mirrors how these answers are judged in a room: a mostly-right ordering with a defensible mistake reads far better than a refusal to commit, and knowing which comparisons you are sure of is itself the calibration being tested.
The Likelihood Ranking guide covers how scoring works, the strategy that wins, a worked example and the mistakes most players make.
More Drills games
- Arithmetic Drill - A 20-card flashcard race across twelve arithmetic categories - play solo or race a ghost recording of a real past run.
- Fermi Estimation (Classic) - Quote a low-high range on ten real-world estimation questions - points for containing the truth, more points for a tight range.
- Sequence Sprint - Find the rule and type the next number - freshly generated arithmetic, geometric, square, alternating, and Fibonacci-style sequences.
- Duck Duck Dash - An endless runner through a sunny field where the only way to hop is answering a mental-math question - one collision ends the run.
- Crossroad Multitasker - A duck at a 4-way crossroad and four corner math pods - answer whichever question is live as it switches unpredictably between the two streams.
- All Drills practice
- Every game guide