~わけがない (there's no way)

You say one thing, she says another. That's just how Rika is. There's no way I can win an argument with her.

'Police. Would you mind coming down to the station with us?' 'Wh-why?' 'You were firing guns in the middle of town — how could that not be a crime?!'

In reality such a thing couldn't happen, but it looks just about right for giving a warning.

There's no way something this big is going to fit on a bike's rear rack.