A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
When a coin is tossed, the possible outcomes are head $(H)$ and tail $(T)$.
When a die is thrown, the possible outcomes are $1,\,2\,,3\,,4\,,5,$ or $6$
Thus, the sample space of this experiment is given by:
$S =\{ T , \,H 1,\, H 3, \,H 5, \,H 21$, $H 22, \,H 23, \,H 24,\, H 25$, $ H 26, \,H 41, \,H 42, \,H 43$, $H 44, \,H 45, \,H 46, \,H 61$ $H 62, \,H 63,\, H 64, \,H 65, \,H 66\}$
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