Xi, Ahren and Witi work together at DAcorp. All three travel frequently for business. The following three probabilities represent Xi's beliefs on whether his colleagues will be in the office on any...

Xi, Ahren and Witi work together at DAcorp. All three travel frequently for business. The following three probabilities represent Xi's beliefs on whether his colleagues will be in the office on any given workday.

{Ahren is in the office | &} = 0.5

{Witi is in the office | &} =0.5

{Both Ahren and Witi are in the office | &} =0.3

Given this information, which of the following statements are true for Xi on a given workday?

I. Whether Ahren is in the office is irrelevant to whether Witi is in the office.

II. On a given workday, it is less likely for both Ahren and Witi to be in the office than it is for neither Ahren nor Witi to be in the office.

a. I only

b. II only

c. Both I and II

d. Neither I nor 11