How often does Yom Kippur fall on Shabbat?

If we were simply counting lunar months accurately, the new moon beginning Rosh Hashanah would fall on each weekday about one time in 7 (the effect of the occasional leap month would similarly even out)... read more

Yom Kippur is called Shabbat Shabbaton, the Sabbath of Sabbaths, in the Torah, hence it supersedes Shabbat and we fast on this day, YK is the only fast which may be held on Shabbat, all other fast days are pushed off to Sunday, the day after. read more

A nice chart visible here: Hebrew Calendar Science and Myths (scroll down to "The Most Popular Rosh Hashannah Start") shows that Rosh Hashanah is on Thursday (i.e. Yom Kippur on Shabbat) 31.9% of the time. read more

Answer: Your premise is correct; all other fast days are postponed until Sunday when they fall on Shabbat.1 However, unlike all other fasts, Yom Kippur is not postponed, and it is observed even on Shabbat.2 The Torah dubs Yom Kippur, "Shabbat Shabbaton" -- the "Shabbat of Shabbats,"3 implying that it takes precedence over Shabbat. read more