We throw a fair die repeatedly until an outcome of either 3 or 4 appears for the fourth time. If X denotes the number of trials until this happens, then which of the following statements is correct?

(a) E(X) = 12

(b) E(X) =3 (c)P(X = 4) = (2∕3)4

(d) P(X = 3) = (1∕3)4

(e) P(X = 5) = 26∕35