President Barack Obama warned Saturday that Israel's vision of an "ideal" nuclear agreement with Iran was unrealistic and put the chance of any acceptable final deal emerging at no more than 50/50.

But Obama argued that the best possible available agreement with Tehran was likely to be better than the alternatives, and it was therefore imperative to try to secure one.

Obama, speaking at the Brookings Institution's Saban Forum in Washington, said a deal was possible that included enough verification safeguards to assure foreign powers Tehran could not build a nuclear bomb.

He indicated that could include a very "modest" option for Iran to enrich uranium as part of a peaceful nuclear program under intense scrutiny by outside observers that would ensure Tehran was kept from "breakout" capacity needed to race to build an atomic weapon.

"If we could create an option in which Iran eliminated every single nut and bolt of their nuclear program and foreswore the possibility of ever having a nuclear program, and for that matter got rid of all its military capabilities, I would take it," Obama said.

"But I want to make sure everybody understands it -- that particular option is not available, so as a consequence, what we have to do is make a decision, as to given the options available, what is the best way for us to assure Iran does not get a nuclear weapon?"

Obama noted likely criticism from Israel of any final deal that did not eliminate all of Iran's nuclear infrastructure as he laid out a pragmatic case for the negotiations.

"One can envision an ideal world in which Iran said 'we will destroy every element or facility and you name it it is all gone.'"

But he added: "I think we have to be more realistic and ask ourselves what puts us in a strong position to assure ourselves that Iran is not having a nuclear weapon."

Obama also made clear that the interim deal reached in Geneva last month between Iran and world powers did not grant Iran a "right to enrich," despite such interpretations of the deal by some top Iranian officials.

"We can envision a comprehensive agreement that involves extraordinary constraints and verification mechanisms and intrusive inspections but that permits Iran to have a peaceful nuclear program," Obama said.

Such a scenario, however, would not permit underground fortified facilities or advanced centrifuges.

"Now, you'll hear arguments including potentially from the (Israeli Prime Minister Benjamin Netanyahu) that says we can't accept any enrichment on Iranian soil, period, full stop, end of conversation," Obama said as he warned that such solutions of "an ideal world" were not within reach.

"There are a lot of things I can envision that would be wonderful," he said. "But ... I think we have to be more realistic."

"It is my strong belief that we can envision an end state that gives us an assurance that even if they have some modest enrichment capability, it is so constrained, and the inspections intrusive, that they as a practical matter do not have breakout capacity."

Obama also sought to temper expectations on the likelihood of a successful final agreement with Tehran.

"If you asked me what is the likelihood that we're able to arrive at the end state that I was just describing earlier, I wouldn't say that it's more than 50/50," he said.

"But we have to try."

The interim nuclear agreement reached in Geneva freezes aspects of Iran's nuclear program and caps its enriching of uranium.

In return, world powers offered Iran seven billion dollars worth of limited sanctions relief.

Netanyahu this week slammed the international community's "rush to accommodate" with the interim deal, describing an easing of sanctions as dangerous "political theatre."

Secretary of State John Kerry, who is just back from Israel, appeared at the same forum a few hours after Obama, and redoubled the administration's effort to convince the Israelis -- and skeptics in the US Congress who are mulling new sanctions, that the deal was a good one.

"I am convinced that we have taken a strong first step that has made the world, and Israel, safer," Kerry said.