Define sample space

Answer 1

Set of all possible outcomes of a random experiments is called sample space.

For example:

i think it means the number of possibilities. ex. there are 4 colors(red blue yellow green) on a arrow wheel. whats the sample space

green,green,green,green

green, yellow,green,green,

green,green,yellow,green

etc.

Sample spaces may be finite, countably infinite, or uncountable.

By definition,

a set A is said to be countable if it is either finite or has the form

A = {a1, a2, a3, · · · }.

For example, rolling a die is an experiment whose sample space is the finite set {1, 2, 3, 4, 5, 6}.

The sample space for the experiment of tossing three (distinguishable) coins is {HHH,HHT,HTH,HTT, THH, THT, TTH, TTT}