Answer: option A:12.
Step-by-step explanation:
Since, rolling a die and tossing a coin are independent events, the sample space of both events is the product of the outcomes for each event, i.e 6 × 2 = 12.
You can check that here:
roll a die toss a coin
1 head
1 tail
2 head
2 tail
3 head
3 tail
4 head
4 tail
5 head
5 tail
6 head
6 tail
So, as you see for each outcome of the event roll a die there are two different possible different outcomes for the event toss a coin; since there are 6 different outcomes for the die, the total number of possibilities is 6 × 2 = 12