This approach is called empirical because it is based

Info icon This preview shows pages 8–18. Sign up to view the full content.

View Full Document Right Arrow Icon
This approach is called empirical because it is based on the collection and analysis of data. The probability value obtained in both classical and empirical approaches indicate the long run rate of occurrence of the event (that is, when the experiment is performed a large number of times). Slide 8
Image of page 8

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

View Full Document Right Arrow Icon
Some terminologies Experiment: an activity such as tossing a coin, which has a range of possible observations or outcomes. Outcome: a particular result of an experiment. Trial: a single performance of the experiment. Sample space: all possible outcomes of the experiment. For a single toss of a coin the sample space is {Heads, Tails}. Event: a collection of one or more outcomes of an experiment. Slide 9
Image of page 9
Calculating probability Let A be the event we want to calculate a probability for, and S , the sample space. The probability of the event A occurring is given by Where n(A) is the number of times the event A occurs and n(S) is the sample space. Example: On a single toss of a coin, P (Heads) = ½ ; P (Tails) = ½. Why? Slide 10 ( ) P( ) ( ) n A A n S
Image of page 10

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

View Full Document Right Arrow Icon