ANSWER
One real root.
EXPLANATION
The graph of the function

is shown in the attachment.
According to the Fundamental Theorem of Algebra, this function must have 3 roots including real and complex roots.
The x-intercepts gives the number of real roots.
Observe that the graph has only one intercept.
This implies that, the equation:

has only one real solution.
The probability of that occurring is 0%. There are 6 sides in a typical dice, which means the probability of rolling a 2 is 1/6th. (1/6)^1000 will give you the probability of rolling a 2 exactly 1000 times. (1/6)^1000 equates to 0%.
Answer:
Using Matlab code for Fourier series to calculate for the function, see the attached
Step-by-step explanation:
Go through the picture step by step.