# A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment.

$Given:\;A\;coin\;is\;tossed\;twice.\;If\;the\;second\;throw\;results\;in\;a\;tail,\;a\;die\;is\;thrown.\\*When\;a\;coin\;tossed\;twice,\;then\;sample\;spaces\;for\;only\;coin\;will\;be:\;\left\{HH,TT,HT,TH\right\}\\*Now,\;according\;to\; question,\;when\;we\;get\;Tail\;in\;second\;throw,\;then\;a\;dice\;is\;thrown.\\*So,\;the\;total\;number\;of\;elementary\;events\;are=2+(2\times\;6)= 14\\* And\;sample\;space\;will\;be\\*S=\left\{HH,TH,(HT,1),(HT,2),(HT,3),(HT,4),(HT,5),(HT,6),(TT,1),(TT,2),(TT,3),(TT,4),(TT,5),(TT,6)\right\}\\* \therefore\;The\;sample\;space\;is\;\left\{HH,TH,(HT,1),(HT,2),(HT,3),(HT,4),(HT,5),(HT,6),(TT,1),(TT,2),(TT,3),(TT,4),(TT,5),(TT,6)\right\}$

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