2022 Volume 45 Issue 1 Pages 1-10
In senior high school mathematics, the Monty Hall problem is sometimes used as teaching material for introducing probability and conditional probability. However, if the Monty Hall problem is handled without a sufficient understanding of conditional probability, students will focus on the solution method that focuses on the complementary event, and they may not recognize that the Monty Hall problem is a problem of conditional probability. In this study, we surveyed university students who had finished the survey of conditional probability to clarify the significance of the Monty Hall problem as teaching material for introducing probability and conditional probability. As a result, it was pointed out that focusing on the solution of the Monty Hall problem by focusing on the complementary event may not lead to the development of problem-solving skills using conditional probability. We then proposed the Falk phenomenon problem as new teaching material for probability and conditional probability.
