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THE FEUTEX TOOLKIT

Multiple Choice Guessing Expected Score

Estimate expected net points from blind guesses under a fixed wrong-answer penalty.

Education workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaExpected correct = questions/choices; Expected score = questions*(correct/choices-wrong_penalty*(1-1/choices))

Made for real tasks

  • Estimate expected net points from blind guesses under a fixed wrong-answer penalty.
  • Compare two scenarios by changing the inputs and rerunning the tool.
Explore step-by-step workflows →

Worked example

Inputs

Questions
20 questions
Choices
4 choices
Correct
1 points
Wrong penalty
0.25 points

Expected results

Expected correct
5 answers
Expected score
1.25 points

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter questions, choices, correct, wrong penalty.
  2. Use consistent units shown beside each input. Run the calculation and review the assumptions below.

Try this example

{
  "questions": 20,
  "choices": 4,
  "correct": 1,
  "wrong_penalty": 0.25
}

Accuracy and scope

Assumes one equally likely correct choice and independent blind guesses, not informed elimination or exam advice.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.