A coin is tossed. If it shows head, we draw a ball from a bag consisting of $3$ blue and $4$ white balls; if it shows tail we throw a die. Describe the sample space of this experiment.
A coin is tossed. If it shows head, we draw a ball from a bag consisting of $3$ blue and $4$ white balls; if it shows tail we throw a die. Describe the sample space of this experiment.
Let us denote blue balls by $B _{1}, \,B _{2},\,B _{3}$ and the white balls by $W _{1},\,W _{2}, \,W _{3}, \,W _{4}$.
Then a sample space of the experiment is
$S =\{ HB _{1}, \,HB _{2},\, HB _{3}, \,HW _{1}, \,HW _{2}$, $HW _{3}, \,HW _{4}$ , $T1,\, T 2,\, T 3$, $T 4,\, T 5,\, T 6\}$
Here $HB_i$ means head on the coin and ball $B_i$ is drawn, $HW_i$ means head on the coin and ball $W _{i}$ is drawn. Similarly, $Ti$ means tail on the coin and the number $i$ on the die.
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