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.
A coin is tossed twice.
The sample space is: 
If the second toss shows a head (TH, HH), then a die is rolled and its sample space is:
If the second toss shows a tail (HT, TT) then there is no further action.
Hence, the combined sample space is:
S = {HT, TT, HH1, HH2, HH3, HH4, HH5, HH6, TH1, TH2, TH3, TH4, TH5, TH6}
Long Answer TypeA 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.
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