Sample space

The sample space S of a random experiment is defined as the set of all possible outcomes.

Note:  When  we  perform  a  random  experiment,  one  and  only  one outcome occurs.

The  samples  spaces  corresponding  to  the  experiments  in  the  last Example are given below:

*Experiment : Toss a coin three times and note the sequence of heads and tails.

*Experiment : Toss a coin three times and note the number of heads.

*Experiment : A block of information is transmitted repeatedly over  a  noisy

channel  until  an  error-free  block  arrives  at  the receiver. Count the number of transmissions required.

*Experiment : Measure the lifetime of a given computer memory chip in a specified environment.

Random experiments involving the same experimental procedure may have different sample spaces as shown by Experiments  and .

The three balls numbered 1 to 3 in an urn are drawn at random one at a time until the urn is empty.

The sequence of the ball numbers is noted. Find the sample space.