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Q.
A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Then, the total number of outcomes for this experiment is ...K... . Here, K refers to
Probability
Solution:
The sample space associated with the given random experiment is given by
$S=\{(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2$,
$5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3)$, $(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6$, 3), $(6,4),(6,5)\}$
Now, when outcomes is doublet, then coin is tossed. So, sample space
$= \{(11, H)(11, T) $
$ (22, H)(22, T)$
$ (33, H)(33, T) $
$ (44, H)(44, T) $
$ (55, H)(55, T) $
$ (66, H)(66, T)\}$
Hence, total number of sample points $=42$