Not really. A standard clause included usually allows either parties to end the contract without any reason without any notice period during probation. When it is served, you don't have to come the very next day.

He is lucky to get terminated less than a month, rather than 3 or 6 months down the road into probation period.

Begging during probation signifies the person does not fit for that role.

The layoff exercises are quite rampant past few months. The first one to go, are the ones that joined quite recently.