With respect to the number of categories, k, when would a multinomial experiment be identical to a binomial experiment?

a. k = 2

b. k = 3

c. k = 4

d. k = 1

Option A) k = 2

Step-by-step explanation:

Multimonial Experiment

A multimonial experiment is an experiment with n repeated trials and each trial has a discrete number of possible outcomes.

Binomial Experiment

Binomial experiment is an experiment with n repeated trials and each trial has only two possible outcomes.

Thus, if k represents the number of possible outcomes, then for k = 2, a multimonial experiment will become a binomial experiment.

Option A) k = 2