Independent events and their complements. Part II

References

• Andre, R. J., & Smith, D. D. (1978). ‘Proofs’ to grade. The American Mathematical Monthly, 85(6), 493–495. https://doi.org/10.1080/00029890.1978.11994627
   Web of Science ®Google Scholar
• Bagdasaryan, A., & Batle, J. (2016). Algebraic characterization of two independent events. The College Mathematics Journal, 47(5), 367–368. https://doi.org/10.4169/college.math.j.47.5.367
   Google Scholar
• Billingsley, P. (1995). Probability and measure (3rd ed.). Wiley.
   Google Scholar
• Bissinger, B. H. (1980). Stochastic independent versus intuitive independence. The Two-Year College Mathematics Journal, 11(2), 122–123. https://doi.org/10.2307/3026669
   Google Scholar
• Casella, G., & Berger, R. (2002). Statistical inference (2nd ed.). Duxbury Advanced Series.
   Google Scholar
• Chung, K. (2001). A course in probability theory (3rd ed.). Academic Press.
   Google Scholar
• Crispim, C. M., Mizuno, G. P., & Pizzinga, A. (2021). Independent events and their complements. International Journal of Mathematical Education in Science and Technology, 52(6), 937–947. https://doi.org/10.1080/0020739X.2020.1807067
   Web of Science ®Google Scholar
• D'Amelio, A. (2009). Undergraduate student difficulties with independent and mutually exclusive events concepts. The Mathematics Enthusiast, 6(1), 47–56.
   Google Scholar
• Degroot, M., & Schervish, M. (2011). Probability and statistics (4th ed.). Pearson.
   Google Scholar
• Feller, W. (1968). An introduction to probability theory and its applications (3rd ed., Vol. 1). John Wiley & Sons.
   Google Scholar
• Gibbons, J. D. (1968). Mutually exclusive events, independence and zero correlation. The American Statistician, 22(5), 31–32. https://doi.org/10.1080/00031305.1968.10480520
   Web of Science ®Google Scholar
• Gnedenko, B. V. (1976). The theory of probability. Mir Publishers.
   Google Scholar
• Gregorac, R. J., & Meany, R. (1992). Stenger's conjecture on independent events. The American Mathematical Monthly, 99(5), 456–458. https://doi.org/10.1080/00029890.1992.11995875
   Web of Science ®Google Scholar
• Griffiths, M. (2020). A note on independence in probability. International Journal of Mathematical Education in Science and Technology, 51(8), 1278–1283. https://doi.org/10.1080/0020739X.2020.1827170
   Web of Science ®Google Scholar
• Hoel, P. G., Port, S. C., & Stone, C. J. (1972). Introduction to probability theory. Houghton Mifflin.
   Google Scholar
• Hou, J., & Nadarajah, S. (2019). New conditions for independence of events. International Journal of Mathematical Education in Science and Technology, 50(2), 322–324. https://doi.org/10.1080/0020739X.2018.1478133
   Web of Science ®Google Scholar
• Joarder, A. H., & Al-Sabah, W. S. (2002). The dependence structure of conditional probabilities in a contingency table. International Journal of Mathematical Education in Science and Technology, 33(3), 475–480. https://doi.org/10.1080/002073902760047986
   Google Scholar
• Krewski, D., & Bickis, M. (1984). A note on independent and exhaustive events. The American Statistician, 38(4), 290–291.
   Web of Science ®Google Scholar
• Larson, H. (1982). Introduction to probability theory and statistical inference (3rd ed.). John Wiley & Sons.
   Google Scholar
• Loyer, M. W. (1980). Equally likely, exhaustive and independent events. Mathematics Magazine, 53(3), 167–171. https://doi.org/10.1080/0025570X.1980.11976847
   Google Scholar
• Meyer, P. (1970). Introductory probability and statistical applications (2nd ed.). Addison Wesley.
   Google Scholar
• Monzingo, M. G. (1982). A visual interpretation of independent events. The Two-Year College Mathematics Journal, 13(3), 197–198. https://doi.org/10.2307/3027322
   Google Scholar
• Mood, A., Graybill, F., & Boes, D. (1974). Introduction to the theory of statistics (3rd ed.). McGraw-Hill.
   Google Scholar
• Rohatgi, V., & Saleh, A. (2001). An introduction to probability and statistics (2nd ed.). John Wiley & Sons.
   Google Scholar
• Weber, K. (2002). Beyond proving and explaining: Proofs that justify the use of definitions and axiomatic structures and proofs that illustrate technique. For the Learning of Mathematics, 22(3), 14–17.
   Google Scholar
• Wong, C. K. (1972). A note on mutually independent events. The American Statistician, 26(2), 27–28.
   Web of Science ®Google Scholar