Or alternatively wait 2 minutes for it to come back up. C'mon - you can't complain about Gmail's uptime record.
I was just going to say this. Been using Gmail daily since 2004 or so and I can count on one hand how many problems I've had. Stellar record, though as I said I am too dependent on it personally.
I'm sure Outlook.com will never, ever have an outage.
I suspect the chance of both services being down is under 0.0001%