**TITLE**

Probability Aspects of the Multiple Choice Question Tests

**PDF**

**ABSTRACT**

In this paper we shall analyse entrance examinations at Prague University of Economics from probability point of view. Entrance examinations in mathematics and entrance examinations in English are used for admission process at the university. These tests in mathematics and English are the multiple choice question tests. We shall find the probability distribution of random variables “number of points in the test in mathematics” and “number of points in the test in English” (in this case model of binomial distribution can be used). On the base of these probability distributions we can answer e.g. the following questions (under assumption of random choice of answers): what is the probability, that number of right answers exceeds given number, what is expected number of right answers, etc.

**KEYWORDS**

Entrance exams, probability distribution, test in mathematics, test in English, binomial distribution, examples

**REFERENCES**

[1] Feller, W. An Introduction to Probability Theory and its Application. John Wiley, 1970.

[2] Hrubý, M. (2016) 'Feedback improvement of question objects ’, International Journal of Continuing Engineering Education and Lifelong Learning, vol. 26, no 2, pp. 183–195.

[3] Klůfa, J. Mathematics for entrance examinations at University of Economics. Ekopress, 2011. ISBN 978-80-86929-77-4

[4] Klůfa, J. (2015) 'Analysis of entrance examinations’, Efficiency and Responsibility in Education, Proceedings of the 12th International Conference, Prague, pp. 250–256.

[5] Premadasa, I. (1993) 'A reappraisal of the use of multiple-choice questions’, Medical Teacher, vol. 15, no. 2-3, pp. 237-242.

[6] Rao, C.R. Linear Statistical Inference and Its Applications. John Wiley, 1973.

[7] Rényi, A. Teorie pravděpodobnosti. Academia, 1972.

[8] Wolfram, S. Mathematica. Addison-Wesley, 1991.

[9] Zhao, Y. (2005) 'Algorithms for converting raw scores of multiple-choice question tests to conventional percentage marks’, International Journal of Engineering Education, vol. 21, , no. 6, pp. 1189-1194.

[10] Zhao, Y. (2006) 'How to design and interpret a multiple-choice-question test: A probabilistic approach’, International Journal of Engineering Education, vol. 22, no. 6, pp. 1281-1286.

**Cite this paper**

Jindrich Klufa. (2018) Probability Aspects of the Multiple Choice Question Tests. *International Journal of Economics and Management Systems, ***3**, 60-64

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