Step-by-step explanation:
Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is
[tex]n \times p[/tex]
The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have
[tex]6 \times 2 = 12[/tex]
Now, we use the fact that proabliblity is
Number of favorable outcomes/ Total outcomes.
We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have
[tex] \frac{1}{12} [/tex]
A is the answer.
