A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
The four balls in the box are: R, W, W, W
Two balls are drawn without replacement.
Hence, the sample space is:
S = {RW, WR, WW}
There is no RR as there is only one red ball in the box.
In case the balls are not identical, we specify them as
Hence, the sample space will be
S =
A box contains 1 red and 3 identical white balls. One ball is drawn from the box, its colour is noted, it is placed back in the box and then a second ball is drawn. Write the sample space of the experiment.
A box contains 5 slips marked 1, 2, 3, 4 and 5. Write the sample space of the experiment, when
(a) one slip is drawn.
(b) one slip is drawn, is number noted and replaced, then a second slip is drawn.
(c) one slip is drawn and not replaced, then a second slip is drawn.