Probability Lecture 1: Events, probabilities & elementary combinatorics - 1st Year Student Lecture

The First Year Probability lectures are for Oxford students of Mathematics, Computer Science and joint degree courses between Mathematics and Statistics and Mathematics and Philosophy.

Lecture 1 (the first of six we are showing) takes the intuitive notion of randomness (and perceived randomness) in the real world and introduces mathematical models in which events that may be observed are captured as sets of possible outcomes to which we can assign probabilities.

In situations where the number of possible outcomes is finite and all outcomes are equally likely, this naturally leads to counting problems. We introduce and use factorials and binomial coefficients to count numbers of distinct arrangements of a finite number of objects. General settings and formulas are illustrated by examples.

All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.

[user]

Writing on the white board makes learning and understanding math easier than just quickly reading it from powerpoint slides, although it takes more efforts from the lecturer and student to write. Thank you

[edbertkwesi]

there is an 80 % chance of rain what an ammazing way to begin.

[matiippolito]

I love maths and sometimes I dont, but Oxford lecturers do know how to explain things clearly. Humans have a hard time processing probability its not in our nature to be able to comprehend these types of concepts 😂.

[barryparsons]

at 11.35 wonderful ; the concept of ink and think .

[shahulrahman]

Watching at 1.75x makes it more engaging

[JessyP-uq]

Return
Umbrellas
Maths




Debts
Mortgage
Scrap

The data collected by your camera has recorded missing things of my house so the probability of retrieval is impossible

Random chance of watching the same rain
How the models appeared in the lobby of university they got funds ????
AM

[lakshyamath]

I just tried to come up with a deduction as follows:
Consider the statement, "80% chance of rain on this Friday". So, we perceive the following:
a. the chance 80% is estimated from data statistically (i.e. a statistical estimate).
b. an estimation is performed in a deterministic way, because it involves a computation technique.
c. so, a statistical estimation is carried through measurement (or observation) using a computation technique.
d. furthermore, a measurement involves measurement randomness due to computation approximation and measuring unit.

Let me know, if the above points are having some discrepancies or not.

[DeviousDevan-bp]

I have Prob & Stats final exams in 2 days 😭😂

[davidbock]

I'm not sure, but I think that's John Malkovich...

[aryan_]

Any indians here who are watching this❤

[AzCode-uxuv]

Hi, how can I love maths? How can I love a difficult thing like this. It's take my time to dive into but almost time I actually dont understand. Sometime, I got excited feeling when I undertstand some math's definition. I dont know how to love it, how to deal with it. How can I explore and dive into Math with positive feeling in almost time?

[ansmunir]

Can you please upload the full lecture series?

[toninotonnato]

For a second I thought that was John Malkovich

[ZaibiDesigner]

Hey sir, I just watched your video and I must say that it was really informative and well-made. I was wondering if I could help you edit your videos and also highly engaging thumbnails which will help your video to reach to a wider audience.

[Zlapped]

I got 80% chances to get an ads on this video

[mitsunam]

I think someone's brain is not braining right 🤯 🧠

[yorhab]

Obviously he knows his subject very very well.

[Hermes]

‘Is weather random? Lots of philosophical
questions here’ (min. 1:41). My reason to click
on the opportunity to hear this lecture precisely.
Popper (1934, 1959, The Logic of Scientific
Discovery) has some piercing critiques on
Bayesian-Probabilistic scientific methodology.

[mehradmoini]

Thanks so much for sharing these valuable lectures. I have two questions:

1- will you also kindly share the future lectures of this course on probability?

2- would you please also share which textbooks or references are being used for this course or alternatively is there a link to the course material one can use?

[vansf]

If you put set difference as A\B, instead of A - B, it can also be interpreted as conditional probability, which means that the notation is ambiguous

Statistics is subjective, because the same set of data can be interpreted in different ways.It depends on each individual's purposes how it's interpreted