Short Answer TypeA 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.
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.
The possibilities are:
6 on the first draw.
The sample space, Â Â 
or 6 on the second draw, the sample space for which is:
               
or 6 on the third draw, the sample spae for which is
               
 {(1,1,6), (1,2,6), (1,3,6), (1,4,6), (1,5,6), (2,1,6), (2,2,6), (2,3,6), (2,4,6), (2,5,6) (3,1,6), (3,2,6), (3,3,6), (3,4,6), (3,5,6), (4,1,6), (4,2,6), (4,3,6), (4,4,6), (4,5,6), (5,1,6), (5,2,6), (5,3,6), (5,4,6), (5,5,6)}
and so on,
Hence, the sample space is:
           S = {(6), (1,6), (2,6), (3,6), (4,6), (5,6), (1,1,6), (1,2,6), (1,3,6), (1,4,6), (1,5,6), (2,1,6), (2,2,6), (2,3,6), (2,4,6), (2,5,6), (3,1,6), (3,2,6), (3,3,6), (3,4,6), (3,5,6), (4,1,6), (4,2,6), (4,3,6), (4,4,6), (4,5,6), (5,1,6), (5,1,6), (5,2,6), (5,3,6), (5,4,6), (5,5,6),.......}
Long Answer TypeA box contains 5 slips marked 1, 2, 3, 4 and 5. Write the sample space of the experiment, when
(a)Â one slip is drawn.
(b)Â one slip is drawn, is number noted and replaced, then a second slip is drawn.
(c)Â one slip is drawn and not replaced, then a second slip is drawn.
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