Outcomes of compound events

The spinner has 5 sides. Therefore (assuming the sides are all different, which the problem should've noted), there are 5 outcomes when you roll the spinner. When you flip a fair coin (notice the problem should've noted the coin was fair), there are always 2 outcomes (heads/tails). Therefore, by the Multiplication Principle, (look that up if you don't know what it is) the answer is 5 * 2  = 10

Hope this helped!