Proability
What Is Probability?
Probability is the expected or calculated outcome of an event that is found through mathematics. There are two different kinds of probability, theoretical probability which is all in theory and what is mathematically supposed to come out, and experimental probability, where you conduct experiments and
get experimental results that show
the actual outcomes of the
specific event.
What Is Dependence vs.
Independence?
Within probability there are two
different types of events.
Independent and dependent
events. Independent events are
when previous outcomes do not affects
the future outcomes, while dependant events are where previous outcomes do affect the outcomes of future events.
Why Is Probability Important?
Probability is important and useful because we can use it to predict the results of an experimental test or the likelihood of any situation. Since we can do that we can apply it to the real world by predicting the likelihood of specific events that
could occur on a regular basis. Such
as injury or accidents
Habits Development:
Throughout this unit I mainly
developed two skills of the habits of
a mathematician. Those skills were
considers different approaches and
solutions to a problem and collaborates
with others. The reason why built on these is because probability can be, at times, very odd. When doing a problem I would look at it in many different ways so that I could see if my answer was correct, as well as I would collaborate and communicate with others to compare work and solutions to see if I was correct, and if I was not, to see where I went wrong.
Most of the probability worksheets I was able to complete and understand quite well. Some examples of ones that I enjoyed and did well on where the "Titanic" and the "is it fair" activities. I did well on these because I was able to comprehend the material and apply it into the problems to calculate and figure out all of the scenarios. I also collaborated and shared solutions as well as process with other students to figure out if all of my answers were correct, and also to get the opinions of others. I also enjoyed the is because I was able to elaborate a lot on the reasoning of why I thought what I thought for each problem, especially the "is it fair" write up. However, one that I did not immediately fully comprehend was the finding of dependent events. The reason why I had trouble on this at first was that I was trying to look at both the equation to find out if an event was independent or dependent, and I was also trying to find out a way that you could derive that without using the equation. I had some trouble with the dependent events at first, however as we learned more about them I comprehended more and more.