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.
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.
When the first slip is drawn, the sample space is
The slip is not replaced.
∴ When the second slip is drawn, the number cannot be repeated.
Hence, the sample space for the draw of two slips is:
S = {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}
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.