Conditional and joint probabilities in conditional probability problem solving.
DOI:
https://doi.org/10.35763/aiem.v1i11.188Keywords:
Conditional probability, joint probability, conditional probability problems, problem solvingAbstract
In this piece of work we report a research from an educational point of view, whose main objective is to study the relationships between conditional and joint probabilities in the process of solving school problems. We first show how basic conditional probability problems present many difficulties to a broader sample of solvers, from compulsory and non compulsory secondary school (15- 18 years old) to future primary and secondary teachers of mathematics. We point out to the complex relationships
among absolute, joint and conditional probabilities as one of the main causes of problems difficulties, and as a consequence, they depend on task variables of problems such as their mathematical structure, context in which problems are put forward and the wording used to express these probabilities. We also show how some students, while solving problems deal with conditional probabilities, not in a proper sense, but in such a way that depends on the resources or representation systems they use for solving the problem.
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