Question

How many elements are in the sample space of the experiment "toss 2 dice and flip a coin?"

Answer 1

Hrm... I didn't really retain much from intro to stats/probability. But I'm thinking (and you should definitely check your textbook) it would be (6^2)(2)

Answer 2

The sample space for 'toss 2 dice' has 36 possible combinations of numbers. These can be set out in column form as follows:
6,6 5,6 4,6 3,6 2,6 1,6
6,5 5,5 4,5 3,5 2,5 1,5
6,4 5,4 4,4 3,4 2,4 1,4
6,3 5,3 4,3 3,3 2,3 1,3
6,2 5,2 4,2 3,2 2,2 1,2
6,1 5,1 4,1 3,1 2,1 1,1
The sample space for 'flip a coin' has two possible outcomes.
therefore the sample space for toss 2 dice and flip a coin is
\[36\times 2=?\]