Casey will be traveling by airplane tomorrow. He is concerned about whether his flight will arrive at its destination on time. There are two other distinctions that help him think about his flight's...

Casey will be traveling by airplane tomorrow. He is concerned about whether his flight will arrive at its destination on time. There are two other distinctions that help him think about his flight's punctuality: the weather at the airport and the wind direction. He details his beliefs in the following table:

Given this information, how many of the following statements are true?

I. Flight Status is relevant to Wind given &.

II. Wind is relevant to Flight Status given Weather and &.

III. Weather is irrelevant to Flight Status given &.

IV. {Sun | Tailwind, Late, &} = {Rain | Tailwind, Late, &}.

a. 0or4 b. 1 c. 2 d. 3