Former CIA Director John Brennan said Wednesday that he believes there is up to a 25 percent chance of an armed conflict with North Korea.

Brennan, who served as CIA director under former President Barack Obama from 2013 to 2017, shared the estimate during his first public and on-the-record discussion since July at an event in New York.

President Trump's handling of a bellicose North Korea has been subject to a great deal of criticism as the president has taken to mocking the country's leader, Kim Jong Un, "little rocket man," and has threatened to "totally destroy" North Korea if provoked.

On the conflict between Trump and Kim, Brennan said, "I can't see either one of them saying, okay, uncle, you win."

Another Obama-era official, Hillary Clinton, who served as Obama's first secretary of state, also derided the U.S.'s "bellicose" and "aggressive" stance on Pyongyang under Trump.

Such an attitude from Washington is "dangerous and short-sighted," Clinton said.