Question

A bag contains one each of red, blue, green, yellow and white marbles. Give the sample space for the following experiments.
A) one marble is drawn at random

B) one marble is drawn, but not replaced,and then a second marble is drawn.

Answer 1

Sample space (Ω) is the set of possible outcomes.
(a) the set of possible outcomes is the set each of the coloured marbles:
Ω={R,B,G,Y,W}
(b) Without replacement means that the two marbles are of different colours, so the sample space is
{RB,RG,RY,RW,BG,BY,BW,GY,GW,...}
There are 20 of them, order counts, for example, RG and GR are different outcomes.