A spinner marked off in 5 equal-size regions, numbered 1 through 5, is spun twice. Let event E be that the outcome of both spins is 4 and event F be that the sumof the two outcomes is 7.a) Write the sample space, S. Use ordered pairs such as (2,3), and so on.b) Find P(E) and P (E').c) Find P(F) and P (F').d) Find P(EUF).OC. S= {(1,1), (1,2), (1,3), (1,4), (1,5), (2,2), (2,3), (2,4), (2,5), (3,3), (3,4), (3,5), (4,4), (4,5), (5,5)}D. S = {(1,2), (1,3), (1,4), (1,5), (2,1), (2,3), (2,4), (2,5), (3,1), (3,2), (3,4), (3,5), (4,1), (4,2), (4,3), (4,5), (5,1), (5,2), (5,3), (5,4)}b) P(E)=(Simplify your answer.)P(E') =(Simplify your answer.)c) P(F) =(Simplify your answer.)P(F') =(Simplify your answer.)d) P(EUF) =(Simplify your answer.)