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

• A. $40$
• B. $42$
• C. $41$
• D. $43$

Answer 1

Answer: (B)

$42$

Answer 2

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 outcome is a doublet, then a 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 $= 42$