very rare
it's quite rare, but it's possible to have no lunar eclipses at all in a year, if the geometry between the Earth, Moon and Sun doesn't quite work out. The maximum possible number, again VERY rare, is five. Typically, we have two lunar eclipses per year.
In order to have a solar eclipse, the moon needs to have the same angular size as the Sun. Non of Jupiter's and Saturn's moons have that characteristic. They do however have lunar eclipses, when their moons enter the planets' shadows.
Lunar eclipses during a gibbous moon are not rare. A lunar eclipse can occur during any phase of the moon, including when it is gibbous. However, lunar eclipses are less common than solar eclipses because they require specific alignment of the Earth, moon, and sun.
On earth there are 2 eclipses, Lunar and Solar eclipses
There was 2 lunar eclipses in 2008.
there are at least two lunar eclipses in a year
none to 3 lunar eclipses a year
yes there are full and partial lunar eclipses
The hemisphere is irrelevant. Lunar eclipses happen, over the long run, about one and a half times a year or so for partial or total lunar eclipses. (if we add penumbral eclipses also, they're a bit more common, but you need special equipment to detect a penumbral eclipse... you can't really tell visually). Lunar eclipses are visible from the entire dark half of the Earth, while solar eclipses are visible only along a narrow path. This makes it SEEM as if solar eclipses are rare, but they are only rare for a specific location. The NASA Eclipse Web Page has a listing of all eclipses from 2000 BCE to 3000 AD. Because a lunar eclipse lasts for some time, a bit over half the Earth gets to see any given one. You can reasonably expect to see slightly under one lunar eclipse per year.
Solar eclipses are more common than lunar eclipses.
Lunar eclipses provide opportunities for scientific research and observation of Earth's atmosphere. They also offer a chance for people to witness a rare and visually stunning celestial event. Additionally, lunar eclipses have cultural and historical significance in various societies.
On average there are as many solar eclipses as there are lunar ones. But each lunar eclipse can be seen from half the Earth, while a solar eclipse can only be seen from a relatively small strip of the Earth's surface. So in any one place it seems that solar eclipses are rare.