Definition:A random experiment is an experiment whose outcome is not known until it is observed. Definition:A sample space,(or S),is the set of all possible outcomes of a random experiment. Definition:A sample point is an element of the sample space. Examples: Experiment:Toss a coin twice and observe the result. Sample space:{HH,HT.TH.TT} An example of a sample point is:HT Experiment:Toss a coin twice and count the number of heads. Sample space:={0,1,2) Experiment:Toss a coin twice and observe whether the two tosses are the same(e.g.HH or TT). Sample space:={same,different) Definition:An event is any collection (subset)of outcomes contained in the sample space.Events will be denoted by capital letters A.B.C,.... Note:We say that event Aoccurs if the outcome of the experiment is one of the elements in A. Definition:An event is said to be simple if it consists of exactly one outcome and compound if it consists of more than one outcome 21252 / 25 Definition: A random experiment is an experiment whose outcome is not known until it is observed. Definition: A sample space, Ω (or S), is the set of all possible outcomes of a random experiment. Definition: A sample point is an element of the sample space. Experiment: Toss a coin twice and observe the result. Sample space: Ω = {HH,HT, TH, TT} An example of a sample point is: HT Experiment: Toss a coin twice and count the number of heads. Sample space: Ω = {0, 1, 2} Experiment: Toss a coin twice and observe whether the two tosses are the same (e.g. HH or TT). Sample space: Ω = {same, different} Definition: An event is any collection (subset) of outcomes contained in the sample space. Events will be denoted by capital letters A,B,C,... . Note:We say that event A occurs if the outcome of the experiment is one of the elements in A. Definition: An event is said to be simple if it consists of exactly one outcome and compound if it consists of more than one outcome