Finite Math Probaility

Question

Write the sample space for an experiment where a coin is tossed and a 6 sided die is rolled.

 

Answer 1

Sample space: {H,T} x {1,2,3,4,5,6} which means any member of the first set paired with any member of the second set.

 

 

Written out, the sample space is

 

H 1

 

T 1

 

H 2

 

T 2

 

H 3

 

T 3

 

H 4

 

T 4

 

H 5

 

T 5

 

H 6

 

T 6

Answer 2

The sample space is just a list of all the possible results. A coin toss has two possible results {heads, tails}, and a die has 6 results {1,2,3,4,5,6}. Combined, there's 12 possibilities:

 

{ (heads, 1), (tails, 1),

   (heads, 2), (tails, 2),

   etc. }