According to the nearest calculator, 2 to the 40th power is 1,099,511,627,776. So the odds are 1 in 1,099,511,627,776 ... that would be the odds of flipping a coin and coming up "tails" 40 times in a row. It would also be the odds of what was reported in the Talmud about the years before the destruction of the Jerusalem Temple in the year 70 A.D.:
Our Rabbis taught: During the last forty years before the destruction of the Temple the lot [‘For the Lord’] did not come up in the right hand (Talmud; Yoma 39b)The Talmud explains the casting of lots on the Day of Atonement. When the lot "For the Lord" came up in the right hand, it was considered a sign from God that the sacrifice of the Day of Atonement had been accepted by God, and that the sins of the people were atoned for by that sacrifice. This sacrifice dated back to the days of Moses, and was instituted as part of the covenant at Sinai.
So according to the Talmud, there's an overwhelming probability that something vital changed in the relations between God and man, and in the usefulness of the ancient covenant sacrificial system, and in the relevance of the Temple in Jerusalem, forty years before the destruction of the Temple. That would place this pivotal change in the year 30 A.D.
Something so vital must have left a record. What record do we have of something pivotal happening in 30 A.D. that affected Judaism as a whole, making the Temple and its sacrifices no longer recognized by God for atonement? The only candidate I'm aware of is Jesus' death and resurrection. If there's another candidate -- something that major in the history of Judaism in the year 30 A.D. -- there should be a record of it. Are there any other candidates? Because the odds that "nothing of significance happened in God's eyes" in 30 A.D. are 1,099,511,627,776 to 1 against.
Just going by the Talmud alone, the odds are overwhelming that Jesus is a deal-changer in God's eyes, making a shift of the relations between God and man that are on the level of a new covenant.
It is good news. The sacrifice, once for all, has been accepted.