{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Tutorial 2 - Probability Concepts Original

# Tutorial 2 - Probability Concepts Original -...

This preview shows pages 1–2. Sign up to view the full content.

CB2201 Sem B in 2012/2013 – TA1, TA3, TA4, TB5, TC4, TF4, TE3, TE4, TE5, TF1, and TF3 CB2201 Topic 2: Probability Concepts 1. Basics of probability theory a. Experiment: An outcome is not known in advance (When an experiment is performed, outcome is known) b. Sample Space (S): The collection of ALL possible outcomes of an experiment c. Event: The collection of SOME possible outcomes of an experiment (An event is said to have occurred when the outcome of the experiment lies in that event) d. Probability: A measure of the possibility that a random phenomenon occurs ۲܍܎ܑܖܑܜܑܗܖ: ܲሺܧݒ݁݊ݐሻ ൌ # ݂ܽݒ݋ݎܾ݈ܽ݁ ݋ݑݐܿ݋݉݁ݏ ݋݂ ݐ݄݁ ݁ݒ݁݊ݐ # ܲ݋ݏݏܾ݈݅݁ ݋ݑݐܿ݋݉݁ݏ ݋݂ ݐ݄݁ ݁ݔ݌݁ݎ݅݉݁݊ݐ , ݓh݁ݎ݁ 0 ൑ ܲݎ݋ܾሺܧݒ݁݊ݐሻ ൑ 1 Example: Toss two coins and we want to know the probability of getting at least one head a. Experiment: Toss two coins b. Sample Space: (4 Possible Outcomes) HH, HT, TH, TT c. Event: Getting at least one head in the experiment (3 Favorable Outcomes) HH, HT, TH d. Probability of getting at least one head ܲሺܩ݁ݐݐ݅݊݃ ܽݐ ݈݁ܽݏݐ ݋݊݁ ݄݁ܽ݀ሻ ൌ # ݂ܽݒ݋ݎܾ݈ܽ݁ ݋ݑݐܿ݋݉݁ݏ ݋݂ ݐ݄݁ ݃݁ݐݐ݅݊݃ ܽݐ ݈݁ܽݏݐ ݋݊݁ ݄݁ܽ݀ # ܲ݋ݏݏܾ݈݅݁ ݋ݑݐܿ݋݉݁ݏ ݋݂ ݐ݋ݏݏ݅݊݃ ݐݓ݋ ܿ݋݅݊ݏ 3 4 2. Mutually Exclusive Events when event A and event B cannot happen together ۲܍܎ܑܖܑܜܑܗܖ: ܲሺܧݒ݁݊ݐ ܣ ܽ݊݀ ܧݒ݁݊ݐ ܤሻ ൌ 0 3. Collectively Exhaustive Events when the list of outcomes in event A and event B is same as Sample Space (S) ۲܍܎ܑܖܑܜܑܗܖ: ܲሺܧݒ݁݊ݐ ܣ ݋ݎ ܧݒ݁݊ݐ ܤሻ ൌ ܲሺܵሻ ൌ 1 4. Complement of the event : the collection of ALL possible outcomes that are not in the event

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern