Well, let's think about the question and think about what we know, and see where that leads. You want to know the chance of the 2nd seeded team
not getting 1st, 2nd, or 3rd pick. Assuming that each team must be picked at some point (i.e. not being picked isn't an option), that means that your question is the same as asking what's the chance of the 2nd seeded team getting 4th, 5th, 6th, [...] or 14th pick. Looking at your table, we can see that the 2nd seeded team cannot be picked sixth or later (at least I'm making the standard assumption that no listed probability implies that event is impossible; if that's not correct, please reply with what the blank spaces
do mean).
So, now we've reduced the problem down to the probability of the 2nd seeded team being picked 4th or 5th. To continue from here, I'll give a few leading questions to hopefully get you thinking in the right direction. Can the 2nd seeded team be picked
both 4th and 5th at the same time? What does that tell you about if the events are mutually exclusive? What does that tell you about how you might find the overall probability? If you need a refresher on probabilities, you might try
this page from Richland Community College.