There is a 30 minute video in the second link that is presenting several lunar and solar eclipses tied to Judaic feast dates. I wanted to hear some opinions on probability and David Sklansky recommends this as the best place to post for unbiased opinions on the probability and numbers. Thanks for your input!
You might have a better chance to get a response if you post a specific, self-contained question, rather than asking the reader to visit multiple links and watch a 30 minute video.
Haven't watched the video. But, briefly, let me point out that the Jews use a lunar calendar.
Rosh Hashanah always falls on a new moon. Tu Bishvat, Purim, and Pesach always fall on a full moon.
Simple geometry says that solar eclipses always fall on new moons, and lunar eclipses always fall on full moons. No matter what years you're looking at, Jewish holidays and eclipses are going to coincide very often.
Yom Kippur, of course, always falls on a waxing gibbous moon, and will never coincide with an eclipse.
Eclipse dates are not independent of each other, either. Lunar eclipses happen in sequences spaced 6 lunar months apart. Solar eclipses quite frequently occur 14 days before or after lunar eclipses.
As such, anytime the Jewish calendar is on a 12-month year and we are in the middle of an eclipse series, two consecutive Pesachs will have lunar eclipses, as will be the case on 15 April 2014 and 04 April 2015. It further happens that Purim is exactly one month before Pesach... so any time the Jewish calendar is on a 13-month year and we are within an eclipse series, a Pesach with an eclipse will be followed by a Purim with an eclipse... as will happen 23 March 2016 (though it's not clear to me whether Purim of that year is to be celebrated on 23 or 24 March.)
Notice further that Rosh Hashanah and Pesach are 6 1/2 months apart - so there are lunar eclipses happening two weeks away from Rosh Hashanah from 2013 through 2016, and the solar eclipse on 13 September 2015 isn't a surprise at all.
Bottom line: there will be an eclipse on about 1/6th of Rosh Hashanahs, Pesachs, and Purims; but there is a near-certainty that there will be several in a row, followed by several years with none, rather than a random sprinkling of them through time.
OMG, most people stopped turning predictable celestial events into supernatural omens several hundred years ago when they figured out the mechanics of astronomy. That web site is the hokiest line of BS I've seen today.
