How do you determine the sample space for the experiment where a coint and a xis sided die are tossed?

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Answer 1 · 2017-05-11T10:15:08

${H 1, H 2, H 3, H 4, H 5, H 6, T 1, T 2, T 3, T 4, T 5, T 6 .}$ ${H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6.}$

Tossing a coin can have two results : either Head H or Tail T.

Tossing of a six sided die have, as outcomes, the nos.

$1, 2, 3, 4, 5, 6 .$ $1,2,3,4,5,6.$

Combining these, we get the following Sample Space $S$ $S$ for

this Random Experiment :

$S = {H 1, H 2, H 3, H 4, H 5, H 6, T 1, T 2, T 3, T 4, T 5, T 6 .}$ $S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6.}$

$n (S) = 12 .$ $n(S)=12.$