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

May 11, 2017

$\left\{H 1 , H 2 , H 3 , H 4 , H 5 , H 6 , T 1 , T 2 , T 3 , T 4 , T 5 , T 6.\right\}$

#### Explanation:

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

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

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

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

this Random Experiment :

$S = \left\{H 1 , H 2 , H 3 , H 4 , H 5 , H 6 , T 1 , T 2 , T 3 , T 4 , T 5 , T 6.\right\}$

$n \left(S\right) = 12.$