Pregunta: 1.- In a study carried out on a group of students from an educational institution, the number of subjects taken in the last semester and the number of subjects passed in it were asked. If it is known that the minimum number of subjects taken is three and the maximum is six, a) Describe the set S (sample space) of possible answers given by the students.

1.- In a study carried out on a group of students from an educational institution, the number of subjects taken in the last semester and the number of subjects passed in it were asked. If it is known that the minimum number of subjects taken is three and the maximum is six, a) Describe the set $S$ (sample space) of possible answers given by the students. Determine the following probabilities with their respective events and sample points: b) That the number of subjects failed is greater than three. c) That the number of subjects taken is equal to four if it is known that he failed more than three 1.- En un estudio efectuado a un grupo de estudiantes de una institución educativa se preguntó el número de materias tomadas en el último semestre cursado y el número de materias aprobadas en el mismo. Si se sabe que el mínimo número de materias tomadas es tres y el máximo es seis, a) Describa el conjunto $\mathrm{S}$ (espacio muestral) de respuestas posibles dadas por los estudiantes. Determine las siguientes probabilidades con sus respectivos eventos y puntos muestrales: b) Que el número de materias reprobadas sea mayor a tres. c) Que el número de materias tomadas sea igual a cuatro si se conoce que reprobó más de tres materias.