Remark
For any combination of out comes the probability is going to be
P(die and spinner) = Probability of the die * probability of the spinner.
P(die)
For any fair die the numbers of the results = 1/6.
The reason? A die has 6 faces. Any one of the faces could come up.
P(spinner) = 1 of light blue, red, yellow, dark blue and green
P(spinner) = 1/5
Answer
P(both) = 1/6 * 1/5 = 1/30