what does the 'bound' mean in this sentence?

[Tvita]

what does the 'bound' mean in this sentence?

But it's bound to be packed

[Snowcake]

But it's bound to be packed

to be bound to: it is likely to happen/be/do.

[Tvita]

I still cannot understand the meaning of this sentence in this dialog:

JOAN

: That new Indian restaurant in Wetherfield is supposed to be excellent... the Rajdoot. Qi

PETER

: How do you spell that?

JOAN

: R-A-J-D-O-O-T.

PETER

: But it’s bound to be packed.

JOAN

: Well, let’s put that down as the first choice and have some back-ups. What about the
Park View Hotel as a second choice?

Q2

PETER

: Yes, that’s always reliable. Park View

[engee30]

I still cannot understand the meaning of this sentence in this dialog:

JOAN

: That new Indian restaurant in Wetherfield is supposed to be excellent... the Rajdoot. Qi

PETER

: How do you spell that?

JOAN

: R-A-J-D-O-O-T.

PETER

: But it’s bound to be packed.

JOAN

: Well, let’s put that down as the first choice and have some back-ups. What about the
Park View Hotel as a second choice?

Q2

PETER

: Yes, that’s always reliable. Park View

But it's bound to be packed. = The restaurant in question will certainly be packed (with people; it will be full of people/it will be crowded there).

[Tvita]

Does "bound" in this case is a noun or past participle from "to bind"?

[engee30]

Does "bound" in this case is a noun or past participle from "to bind"?

Oh, so that's the problem. It's an adjective never used before a noun (you couldn't say a bound restaurant, for example).

[Tvita]

Thank you - now I understand:
Cambridge Dictionaries Online - Cambridge University Press