dns A RR as failover

[Aleksander]

Hi,

This question does not concern bind directly, but DNS generally.

MX records are setup with priorities to create failover servers. That's 
nice. But could something like that be done with A records?

Say, if I specify two A records for domain.com, which one will the 
clients use and what if the first one they tried, fails? I can't specify 
priorities for them like with MX.

For example google.com has several A records. How does failover work for 
A records work in DNS?

Thanks in advance,
       Alex