In order to find the answer you have to create a sample space:
S= {b, b, b, b, r, r, r, r, r, b, b, b, b, b, b, b, g, g, g, p, p, p, p, p, p,}
P(b)= 4/25 or 16%
P(r)= 5/25 or 1/5 or 20%
P(b)= 7/25 or 28%
P(g)= 3/25 or 12%
P(p)= 6/25 or 24%
Now the answer is obvious, the theoretical probability that Lucas chooses a red bowling ball is 6/25 or 24%.
Hope this helped, have a good day UwU <3