Given : let H be head, and T be tails where as 1,2,3,4,5,6
be the numbers on the dice which are thrown when a head comes up or else coin is tossed again if its tail.
According to the question ,
sample space S = {(TH),(TT) ,(H1),(H2),(H3),(H4),(H5),(H6)}
To Find:
(i) the probability of obtaining two tails
From sample space, it is clear that the probability of obtaining two tails is\(\frac{1}{8}\)
i.e., {TT} with total no of elements in sample space as 8.
(ii) the probability of obtaining a head and the number 6
From sample space, it is clear that the probability of obtaining a head and the number 6 is\(\frac{1}{8}\)
i.e., {H6} with total no of elements in sample space as 8.
(iii) the probability of obtaining a head and an even number
From sample space, it is clear that the probability of obtaining a head and an even number is\(\frac{3}{8}\)
i.e, {H2,H4,H6} with total no of elements in sample space as 8.
