Question

A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Deterrnine the total number of elementary events associated to this experiment.

Answer 1

Since a pair of dice is rolled, so total number of elementary events $=6^2=36$

Again, if the doublet is outcomes i.e., we have either ( 1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) then a coin is tossed, then we have H or T.

$\therefore$ Total number of elementary events = $6\times 2=12$

Thus, the total number of elementary events = 30 + 12 = 42