Sample Space= {1, 1, 1, 1, 1, 1, 25, 25, 25, 25, 10, 10, 10, n x?}
After we have this equation written out, or also known as a sample space, we now have to figure out the probability by counting the coins up "seperately":
P(P)= 6/20 or 3/10 or 30%
P(Q)= 4/20 or 1/5 or 20%
P(D)= 3/20 or 15%
P(N)= 7/20 or 35%
After completing this step, you finally have your answer. So the theoretical probability that you randomly pick a nickel would be 7/20 or 35%.
Hope this helped, have a good day! :3