Odds stats?

What’s the opposite of “there is a better chance”?

Is it natural to say “go with the odds/stats”?

There is a smaller/slimmer chance of a fire than of a break in. I’d rather lock her in and make sure no one can get in than leave the door open, so she can get out in the event of a fire, while I go out. I have to go with the odds/stats. There are fewer fires than break ins.

Thank you