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.
The 2 red and 3 black balls in the box are not given identical.
∴ We shall specify them as R1j, R2, Bj, B2, B3.
A coin is tossed. The sample space,
S1 = {H, T}
If a tail comes up, a ball is drawn from the box for which the sample space is :
S2 = {R|1, R2, B,1, B2, B3}
If a head comes up, we throw a die for which the sample space is :
S3 = {1, 2, 3, 4, 5, 6}
Hence, the combined sample space is :
S = {TR1,TR2,TB1,TB2,TB3, H1,H2, H3, H4, H5, H6}
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.
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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