Solution The outcomes of the experiment can be
represented in following diagrammatic manner called
the ‘tree diagram’ The sample space of the experiment may be
described as
S = {(H,H), (H,T), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}
where (H, H) denotes that both the tosses result into
head and (T, i) denote the first toss result into a tail and
the number i appeared on the die for i = 1,2,3,4,5,6 Thus, the probabilities assigned to the 8 elementary
events
(H, H), (H, T), (T, 1), (T, 2), (T, 3) (T, 4), (T, 5), (T, 6)
are 1 1 1
1
1
1
1
1
,
,
,
,
,
,
,
4 4 12 12 12 12 12 12  respectively which  is
clear from the Fig 13 2