We throw a fair die repeatedly until an outcome of 4 or greater appears for the fifth time. If X denotes the number of trials until this happens, then X follows the

(a) Poisson distribution with parameter ???? = 1∕2

(b) hypergeometric distribution

(c) geometric distribution with parameter p = 1∕4

(d) geometric distribution with parameter p = 4∕6

(e) negative binomial distribution with parameters r = 5 and p = 1∕2.