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Points table of tri-series in Australia 2012, between India, Australia and Sri Lanka, ended up being very important as all teams were equally matched and ultimately Sri Lankans qualified by winning the last match, knocking Indians out of the tournament.
here's how the points table ended up.

Points table : India v Australia v Sri Lanka, CB tri-series in Australia 2012.
Team ODIs Won Lost Tied N/R B.Pts T.Pts NRR
Australia 8 4 4 0 0 3 19 +0.454
Sri Lanka 8 4 3 1 0 1 19 +0.164
India 8 3 4 1 0 1 15 -0.593

Note that :
*Win with bonus = 5 points.
*Win without bonus = 4 points.
*Tie or no result = 2 points each.
*Loss = 0 points.

What is win with bonus point?

Beating your opponent with more than one run per over rate. Consider a team is chasing target of 250 but is bowled out for 200, they fell short a run an over and hence winner gets a bounus point. Conversely, when a team chasing target finishes the match inside 40 overs, they gain a bounus points.

Who qualifies for final?

*Team with most number of wins, qualifies for final.
*If equal, team with more points qualifies.
*If equal, team with most number of wins against the team they are tied with goes through to final.
*If still equal, team which has won more number of bonus points in league matches moves ahead.
*If still equal, team with better net-run-rate would move into the finals of this Triseries in Australia.