Not counting their initial failures, SpaceX has had a 100% success rate. And each rocket was so significantly different from the previous rocket[1], that it's more fair to say they had 3 rocket models with 100% failure, rather than one model with 60% failure rate. And the Falcon 9 has a 100% success rate. And they were awarded this contract, so obviously NASA believes they can achieve the desired reliability and safety for the rocket that will be used under the contract (not F1).

I'm not affiliated with SpaceX, nor trying to be a fanboi, but I believe you are distorting things.

[1] Which did earn them a lot of criticism from the industry, actually