Sleepwho came and banned them all

Once upon a time, three players, Inzanity, Petrol, and Psynix, were found guilty of fake bidding tws. Agatio had selected one of them at random to be pardoned. The warden, EvilTouch knew which one was pardoned, but was not allowed to tell. Inzanity begged the warden to let him know the identity of one of the others who was getting banned. "If Petrol is to be pardoned, give me Psynix's name. If Psynix is to be pardoned, give me Petrol's name. And if I'm to be pardoned, flip a fair coin to decide whether to name Petrol or Psynix."The warden told Inzanity that Petrol was getting banned. Inzanity was pleased because he believed that his probability of getting pardoned had gone up from 1/3 to 1/2, as it was just between him and Psynix. Inzanity secretly told Psynix the news, who was also pleased, because he reasoned that Inzanity still had a chance of 1/3 to be the pardoned one, but his chance had gone up to 2/3. Who do you think was correct? Inzanity or Psynix?

Wait wait I've seen this somewhere already. Just, wherereee ngggh.I know it's a mathematical paradox.

Do I get any prize for guessing it was a mathematical paradox?

Sure, here's your prize:

Dad was correctby confusing them all