Model single questions, streaks, and score targets accurately. See expected correct answers, odds, and risk. Use better guessing strategies during practice and timed tests.
| Scenario | Total Questions | Choices | Guessed | Eliminated | Known Correct | Target Score | Main Insight |
|---|---|---|---|---|---|---|---|
| Practice Quiz | 20 | 4 | 5 | 1 | 12 | 15 | Elimination sharply improves the guessing odds. |
| Standard Exam | 50 | 4 | 10 | 0 | 35 | 40 | Expected score depends on both knowledge and luck. |
| Penalty Test | 100 | 5 | 20 | 2 | 60 | 72 | Wrong-answer penalties can outweigh weak guessing. |
Single guessed question probability: If each question has c choices and you eliminate e wrong choices, the remaining options become c − e. The chance of a correct random guess is p = 1 / (c − e).
Exact probability of getting k guessed answers correct: The calculator uses the binomial model: P(X = k) = C(n, k) × pk × (1 − p)n − k, where n is guessed questions.
Cumulative thresholds: “At least” adds probabilities from the chosen threshold upward. “At most” adds probabilities from zero up to the chosen threshold.
Expected guessed correct: E(X) = n × p.
Variance and spread: Var(X) = n × p × (1 − p), and standard deviation is the square root of variance.
Total score: Score = knownCorrect × correctPoints + guessedCorrect × correctPoints + guessedWrong × wrongPoints + unattempted × blankPoints.
Enter the total number of questions in the test. Then enter how many answer choices each guessed question has.
Add how many questions you expect to guess on. If you usually remove one or more wrong options first, enter that average elimination count.
Choose whether you want the calculator to estimate the chance of getting exactly, at least, or at most a chosen number of guessed answers correct.
Fill in known correct answers if you want total score projections. Then enter the scoring rules for correct answers, wrong guesses, and unattempted questions.
Set a target score if you want to estimate your chance of reaching a pass mark or personal goal. Click the calculate button to show the result block above the form.
Use the CSV button to export the summary and distribution table. Use the PDF button to generate a clean result file for saving or sharing.
It measures the probability of getting guessed multiple-choice answers correct. It also estimates score outcomes, target-reaching chances, and how elimination changes guessing performance.
The binomial model fits repeated guess events with the same success probability. It works well when guessed questions are independent and each one has the same number of effective options.
Eliminating choices increases the probability of a correct guess. For example, removing one option from four choices changes the chance from 25% to about 33.33%.
Yes. Enter a negative value in the wrong-guess field. The calculator then estimates expected score, target score probability, and the full score distribution under that penalty rule.
These are answers you expect to get right without guessing. They help the calculator estimate total correct answers and total score, rather than only the guessed portion.
Exact means one specific guessed-correct total. At least means that number or higher. At most means that number or lower. Each uses the same distribution differently.
Not exactly. It estimates outcomes from the values you enter. Real performance can differ if question difficulty varies, guessing is not random, or elimination accuracy changes.
Guessing is usually stronger when penalties are low and you can eliminate options. With harsh negative marking, the score impact may become weak or even harmful.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.