Find the sample space for this compound experiment making organized list table or a tree diagram.How many outcomes are possible if you flip a coin and then roll a number cube

Question

Find the sample space for this compound experiment making organized list table or a tree diagram.How many outcomes are possible if you flip a coin and then roll a number cube

Answer 1

The sample space for flipping a coin and then rolling a number cube consists of all possible outcomes from flipping a coin (heads or tails) combined with all possible outcomes from rolling a number cube (numbers 1 through 6).

To represent this as a table or tree diagram:

Table:
Coin | Number Cube
------------------------
Heads | 1, 2, 3, 4, 5, 6
Tails | 1, 2, 3, 4, 5, 6

Tree diagram:
- Heads
- 1, 2, 3, 4, 5, 6
- Tails
- 1, 2, 3, 4, 5, 6

There are a total of 12 possible outcomes when flipping a coin and rolling a number cube (2 outcomes from flipping a coin multiplied by 6 possible outcomes from rolling a number cube).