Let XXX be discrete with P(X=k)=p(1−p)k−1P(X=k) = p(1-p)^{k-1}P(X=k)=p(1−p)k−1 for k=1,2,3,…k = 1, 2, 3, \ldotsk=1,2,3,… and p=0.25p = 0.25p=0.25. What is P(X is odd)P(X \text{ is odd})P(X is odd)?
13\frac{1}{3}31
12\frac{1}{2}21
23\frac{2}{3}32
35\frac{3}{5}53