Probability

Have a go at this simple worksheet on probability.

I have included answers on the sheet also.

Good luck.

Mr.Sweeney.

Probability - Kieran Sweeney - Worksheet

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.

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.

Probability Examination - 3rd Year!

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

3rd Year Probability Examination.pdf

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!

Worksheet on Dice!

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

Worksheet on Dice!

Best of luck!

Mr. Sweeney.

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.

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

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.

1st Year Maths - Fundamental Principle of Counting