Total Pageviews

Showing posts with label Probability. Show all posts
Showing posts with label Probability. Show all posts

Wednesday, 29 January 2014

Monday, 11 November 2013

Leaving Cert Statistics and Probabilities



Enjoy.

Mr. Sweeney.

Tree Diagrams



  • There are some excellent worked out examination style problems available here.

  • There is an on-line revision guide available here.

  • Here is another sample exam question worked out fully.

Good luck.

Mr.Sweeney.

The Normal Distribution Curve

Normal Distribution and the Empirical Rule







Enjoy. Mr.Sweeney

Wednesday, 6 November 2013

Relative Frequency

1. What is it? 


2. Why do we need it? 


3. Sample worked out exam question. 





4. There is more information available here. 

 Enjoy. 

 Mr. Sweeney.

Bernoulli Trials

1. What is a Bernoulli trial?

In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted.


2. Here is a simple worked example of a Bernoulli trial from the examination papers.



3. Basically.....

4. Here is a slightly more difficult worked example....




5. Sample examination question


Enjoy. 

Mr. Sweeney.

Tuesday, 5 November 2013

Probability Examination - 3rd Year!

Here is the questions and solutions of today's examination!

Happy studying.

Mr. Sweeney.

Dice! - Probability

Dice feature regularly in examination questions on Probability. There is an excellent interactive investigation of dice available here.

Here is a worksheet that should help you in understanding dice!



Have a look at the videos below which discuss sample problems involving dice.



Best of luck!

Mr. Sweeney.

Friday, 25 October 2013

Choosing - nCr - Conditional Probability

1. How can we 'choose' without a calculator?!?



2. Where is it used in Mathematics?



3. Here is an example that uses dice!



4. Sample Leaving Cert Higher Level problem.

 

5. Sample Junior Cert Higher Level exam question.



Enjoy.

Mr.Sweeney.

Thursday, 24 October 2013

Probability - Tree Diagrams

1. What are they? 2. How are they used? 3. Sample Problem 4. A slightly more difficult problem.
Enjoy. 

Mr.Sweeney.

Wednesday, 23 October 2013

Probability - What are the chances?!

1. What is Probability? 2. Some harder examples! 3. Exam type questions! This following lesson is aimed more at Leaving cert Higher Level students. 
Enjoy!

Mr.Sweeney

Tuesday, 22 October 2013

Permutations and Combinations

Here you will find an introduction to permutations and combinations. 



Here is a sample problem



And one from the 2012 Leaving Cert!


Enjoy.


Mr.Sweeney.

Prime Numbers

What is a prime number?




How can we find out if a number is prime?



What are prime numbers used for?



Enjoy.

Mr.Sweeney.

Monday, 21 October 2013

Factorials

Here is an introduction to basic factorials. They are used a lot in the Probability and Statistics area of your course!



Here we see how to work with factorials.

Here are a few more difficult questions.





Enjoy.

Mr. Sweeney.