A box contains three marbles one red one green and one blue

A box contains three marbles: one red, one green, and one blue. Consider an experiment that consists of taking one marble from the box then replacing it in the box and drawing a second marble from the box. What is the sample space? If, at all times, each marble in the box is equally likely to be selected, what is the probability of each point in the sample space?

Solution

Sample space =

{ ( RR, RG, RB, GG, GR, GB, BB, BR, BG) }

i.e 9 sample points in the sample space.

If each outcome is equally likely, then the probability = 1/9

hope this helps.