highly likely
highly probable

It is highly likely that he had Alzheimer's disease while in office.

It is a case he looks highly likely to win.

Prior knowledge of it does appear to have been highly likely.

Computer analysis shows that a draw is highly likely if both players play perfectly.

But experts say it is highly likely that many were.

I think it's highly likely that we might make a trade.

I had to admit, in fact, that it was highly likely.

It is highly likely that your friend got very good value for money.

After all, it is highly likely that local workers were also being abused.

It is important that the story be true, or at least highly likely.