Question

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

• A. 40
• B. 42
• C. 41
• D. 43

Answer 1

Answer: (B)

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 $=42$