Analysis of Students' Error In Solving Probability Problem: A Case Study In Guangxi

  • Yuxian Huang Guangxi Normal University
  • Ying Zhou Deparment of Mathematics and Statistics, Guangxi Normal University, China
  • Yong Li Baise National Senior High School, Guangxi , China
Keywords: Analysis of Error, Probability, Statistics


This research analyzes the types and reasons of students'  mistakes in solving probability and the analysis statistics problems by qualitative research method. The subjects were 20 senior High school students from a senior high school in Guangxi, China. The data were collected through the student diagnostic test. The students' answers were analyzed by using O'Connel's  analysis. The results show that the proportion of misunderstood problems is 48.18% at the largest proportion, and the proportion of computational errors is next, accounting for 36.36%. The proportion of procedural errors is the least, accounting for 15.45%. As we all know, there are many reasons for the above mistakes., so teachers can find some solutions to overcome these mistakes.


Aditya, P., Wijaya, T. T., Dewi, S. N., & Zulfah, Z. (2020). Analisis buku siswa matematika SMA dari Indonesia dan China pada materi peluang dan statistik. Jurnal Cendekia: Jurnal Pendidikan Matematika, 4(2), 813–822.

Aixia, W., Ying, Z., & Wijaya, T. T. (2020). The current situation and prospect of study quality evaluation research in china in the last 10 years. EDUKATIF: Jurnal Ilmu Pendidikan, 2(1), 101–112.

Arum, D. P., Kusmayadi, T. A., & Pramudya, I. (2018). Students’ difficulties in probabilistic problem-solving. Journal of Physics: Conference Series, 983(1).

Bernard, M., & Chotimah, S. (2018). Improve student mathematical reasoning ability with open-ended approach using VBA for powerpoint. AIP Conference Proceedings, 2014(September).

Cunhua, L., Ying, Z., Qunzhuang, O., & Wijaya, T. T. (2019). Mathematics course design based on six questions cognitive theory using hawgent dynamic mathematic. Journal On Education, 02(01), 36–44.

Gasser, B. (2019). What happened to the participants of the math olympiad 1971? A multiple-case study concerning the occupational success of the winning team from hungary, math olympiad–occupational success. Journal of Intelligence, 7(1).

Habibi, A., Yusop, F. D., & Razak, R. A. (2020). The role of TPACK in affecting pre-service language teachers’ ICT integration during teaching practices: Indonesian context. Education and Information Technologies, 25(3), 1929–1949.

Hidayat, W., Wahyudin, W., & Prabawanto, S. (2018). Improving students’ creative mathematical reasoning ability students through adversity quotient and argument driven inquiry learning. Journal of Physics: Conference Series, 948(1).

Hidayat, W, & Sariningsih, R. (2018). Kemampuan Pemecahan Masalah Matematis dan Adversity Quotient Siswa SMP Melalui Pembelajaran Open Ended. JNPM (Jurnal Nasional Pendidikan Matematika), 2(1), 109.

Huang, Z. (2018). Theoretical analysis of TPACK knowledge structure of mathematics teachers based on T-TPACK mode. Kuram ve Uygulamada Egitim Bilimleri, 18(5), 2044–2053.

Legesse, M., Luneta, K., & Ejigu, T. (2020). Analyzing the effects of mathematical discourse-based instruction on eleventh-grade students’ procedural and conceptual understanding of probability and statistics. Studies in Educational Evaluation, 67(July), 100918.

Morsanyi, K., Primi, C., Chiesi, F., & Handley, S. (2009). The effects and side-effects of statistics education: Psychology students’ (mis-)conceptions of probability. Contemporary Educational Psychology, 34(3), 210–220.

Ngirishi, H., & Bansilal, S. (2019). An exploration of high school learners’ understanding of geometric concepts. Problems of Education in the 21st Century, 77(1), 82–96.

Nuha, M. A. (2014). Analisis Kemampuan Pemecahan Masalah Geometri dan Karakter Siswa SMP Kelas VIII Melalui Pembelajaran Model 4K. Kreano: Jurnal Matematika Kreatif-Inovatif, 5(2), 188–194.

Retnawati, H., & Wulandari, N. F. (2019). The development of students’ mathematical literacy proficiency. Problems of Education in the 21st Century, 77(4), 502–514.

Rohaeti, E. E., Nurjaman, A., Sari, I. P., Bernard, M., & Hidayat, W. (2019). Developing didactic design in triangle and rectangular toward students mathematical creative thinking through Visual Basic for PowerPoint. Journal of Physics: Conference Series, 1157(4).

Salido, A., & Dasari, D. (2019). Students’ errors in solving probability problems viewed by learning style. Journal of Physics: Conference Series, 1211(1).

Setiawan, Y., Hapizah H, and Hiltrimartin C. (2018). Kesalahan siswa dalam menyelesaikan soal olimpiade SMP konten aljabar. Jurnal Riset Pendidkan Matematika, 5 (2). 233-234.

Tan, C. K. (2012). Effects of the application of graphing calculator on students’ probability achievement. Computers and Education, 58(4), 1117–1126.

Tezer, M., & Karasel, N. (2010). Attitudes of primary school 2nd and 3rd grade students towards mathematics course. Procedia - Social and Behavioral Sciences, 2(2), 5808–5812.

Wijaya, T. T., Ying, Z., Chotimah, S., Bernard, M., Zulfah, & Astuti. (2020). Hawgent dynamic mathematic software as mathematics learning media for teaching quadratic functions. Journal of Physics: Conference Series, 1592(1).

Wijaya, T. T., Ying, Z., & Purnama, A. (2020). Using Hawgent dynamic mathematics software in teaching trigonometry. International Journal of Emerging Technologies in Learning, 15(10).

Wijaya, T. T., Zulfah, Z., Hidayat, A., Akbar, P., Arianti, W., & Asyura, I. (2020). Using VBA for microsoft excel based on 6-questions cognitive theory in teaching fraction. Journal of Physics: Conference Series, 1657(1), 012078.

Wiriyaudomsatean, T., & Thinwiangthong, S. (2019). Students’ Words in Mathematical Communication in Classroom Using Lesson Study and Open Approach. Journal of Physics: Conference Series, 1340(1).

Zhang, L., Zhou, Y., & Wijaya, T. T. (2020). Hawgent dynamic mathematics software to improve problem-solving ability in teaching triangles. Journal of Physics: Conference Series, 1663(1).

Zulfah, Astuti, Surya, Y. F., Marta, R., & Wijaya, T. T. (2020). Measurement of mathematics problems solving ability using problem based mathematics question. Journal of Physics: Conference Series, 1613(1).