# PROBABILITY QUESTION [closed]

How to solve this probability question?f a, b, and c are in the range [0, 1], what is the probability that the quadratic equation ax^2 + bx + c has real solutions? justify your answer!

This question was posed by the esteemed Portuguese mathematics educator, José Paulo Viana, during a session of the APM - Mathematics Teachers Association of Portugal(https://www.facebook.com/photo/?fbid=718336196985035&set=a.415008250651166&__cft__[0]=AZWSIZa5VPhQfEw1WoyJo9yDPREx3Y5eBshgw9sHI9RYRnobpRh_nvBUEKPwW_U4pt2Z66dX39xJa7ZJIzRoYEIYugSvksorwI-1qIymHA5CeMGqmJR-zlYWC1cxpIXQk4VExGzEeSb8ZFFUAvAn11Do91iyHUYNi9kGLiQiFBEIw0zootIC61uUahWmo8TX6OQ&__tn__=%2CO*F). It serves as an exemplary case of an engaging problem in the field of probability and has indeed captured my attention.

• ... and why exactly would we make your homework? :-) Nov 9, 2023 at 15:56
• Hint: It is a volume computation involving the discriminant.
Nov 9, 2023 at 18:23
• Please edit so that the connection with math education is clear. Otherwise, we will need to close this question. Nov 9, 2023 at 19:37
• @SueVanHattum, done! Nov 10, 2023 at 22:00
• 5 users voted for it to be closed. I suggest asking in mathse Nov 10, 2023 at 23:07