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For more information, please see full course syllabus of Probability
For more information, please see full course syllabus of Probability
Probability Independence
Lecture Description
In this lesson, we are going to talk about independence. We have already seen the definition of independence in the introductory lectures. In this one however, we are going to really study it more closely in a bunch of examples and try to get you comfortable with the idea of independence. The idea of independence is that if you evaluate the probability of A without thinking about B, and then, if you evaluated the probability of A, already knowing that B is true, you get the same answer either way. This idea is very commonly misinterpreted by students, so check the video for some useful tips and examples.
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1 answer
Wed May 3, 2017 3:29 PM
Post by Emanuel Fonseca on May 2, 2017
shouldn't P(A|D) =1/6 example 2? because (1/6 * 5/36)/5/36 = 1/6
Thanks ahead of time
1 answer
Fri Aug 28, 2015 1:08 PM
Post by Hen McGibbons on August 27, 2015
i am taking intro to statistics at college starting this fall. Should i try to get through as much of the probability series before class starts? The reason i ask this is because i have read online that having an understanding of probability makes studying statistics a lot easier. I also read that in order to truly understand statistics, you must first understand probability. So am i wasting my time right now studying all these probability videos if its not preparing me for intro stats?
However, let's say for example i was thinking about majoring in statistics (which is something I am considering doing since I am undecided on a career path right now). Then i think it would be wise to start on probability first. If I'm going into the statistics field it probably makes sense that I have an intuitive understanding of statistics (which can be acquired through first studying probability) and not just an understanding based on memorizing equations (which would basically mean getting through intro stats simply by memorization).
Please let me know what your thoughts are.
1 answer
Fri Aug 28, 2015 1:08 PM
Post by Hen McGibbons on August 27, 2015
excellent lecture by the way.
3 answers
Sat Aug 13, 2016 10:49 AM
Post by Hen McGibbons on August 27, 2015
To see if 2 events are independent (such as event A and B) why do we only have to do P(A|B)? Wouldn't we have to check both P(A|B) and P(B|A)?
1 answer
Mon Jun 23, 2014 7:35 PM
Post by Mohammed Alam on June 22, 2014
Dr. Murray,
Referring to E# II, can you please explain without using any equation or the formulas why events A and D are dependent and A and C are independent? I can find out if the events are dependent or independent by using the procedures you have shown here, but I am not getting the concept. So, please without using the procedure you have shown in the video, can you please explain why events A and D are dependent and A and C are independent? Thank you.
2 answers
Last reply by: Brett Pienaar
Thu Mar 2, 2023 6:37 AM
Post by Danushka Karunarathna on May 19, 2014
Hey, this is regarding example 3, how is P(B)=1/10?? isn't it supposed to be 1/9 since there is no replacement taking place?