If you make a tree diagram and then list all of the possible outcomes for flipping a coin and rolling a 6-sided die, how many possible outcomes are there?
a) 2
b) 6
c) 12
d) 36

The possible outcomes that will be obtained are:

Option: C

C) 12

Step-by-step explanation:

When we flip a coin the outcomes that are obtained are:

{H,T}

Now, the possible outcomes that is obtained on flipping a die after flipping a coin are:

{(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

Hence, the total number of possible outcomes that are obtained on flipping a coin and rolling a six-sided die are:

12

Also the tree diagram of these possible outcomes is attached to the answer.

the answer

b. they are parallel and will never intersect.