Opta’s predictor model gives Phil Parkinson’s side just a 12.10% chance of finishing the season in the top six.
Wrexham take on Stoke City – who have lost five successive away league games – at Stok Cae Ras on Saturday (15:00 BST) as they bid to get their play-off push back on track.
And Scarr believes, despite being seemingly written off by some, that the Red Dragons have the quality within their ranks to still claim a top six place.
“We’ve got another four games to go, belief’s still high and we’ve got a really good group,” he said.
“We can just look at every game and feel like we’ve got nothing to lose, let’s just go for it.
“Everyone’s going to probably write us off now and say that we’ve got a little bit of bad form and stuff like that.
“But we know we’re good enough. We’ve got some quality players, we can produce moments of brilliance, we just didn’t do it today.”
Scarr started at the heart of Wrexham’s back three at Birmingham in place of captain Dom Hyam who dropped to the bench.
It was Scarr’s first league start since his side’s dramatic 3-2 win over Queens Park Rangers on 24 January.
And while frustrated with his lack of action of late, Scarr says his absence typifies the level of competition for places within the Wrexham squad at present.
“It’s Wrexham, we sign good players in the windows, so you know you’re going to be up against it [to play], but that’s what’s got us where we are today,” he said.
“Everyone pushes for a place, everyone pushes each other on. It’s good competition in the group and unfortunately I haven’t played for a while, but I’d like to think I’m ready to step in when I can.
“I’ve had to wait my time to have a go. Coming in as a defender you want to do a little bit better than that scoreline shows. But it’s good to be back and it was good to get a little run out.”
BBC News
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