The odds of course depend on what par is for the hole, and the skill level of the golfer (pro or not). As an example, the odds of making a 2 on a par 5, which is called an "albatross" are estimated at 6,000,000 to 1 by Golf Digest, and a 1,000,000 to 1 for golf pros. Back to back 2's, on back to back par 5's, for a PGA pro would then be 1,000,000,000,000 to 1 and never been recorded (very few opportunities given course designs). Interestingly, several players, including John Daly, have recorded more than one albatross in their careers!
Let's answer a perhaps more interesting question... The odds of making a hole in 1 for PGA tour players is 3,700 to one, so says Golf Digest, and the odds of an everyday golfer doing are 33,000 to one. Since golf holes are independent events, the odds of making two holes in one in a round are the same as two aces back to back. For a golf professional then the odds would 13,670,000 to 1, but the statistics show in fact that the odds are significantly better. Take a look at Golf Digests' Hole in One page for some great stats on aces. Of note is that Jack Nicklaus has done it 19 times, and that 5 people have done it back to back !
While the previous answer addresses holes-in-one and holes-in-two "on par 5s," the question, as asked, has to do with the odds of getting a score of "two" on back-to-back holes without specifying the par for the two holes. The odds of this happening are not so great as one might imagine. Consider a par three hole either preceded or followed by an easy par four hole. It is relatively easy for even an average golfer to hit a good shot and get a birdie (one under par) on a par three hole...yielding a score of two. It may be a bit more difficult, but it's certainly not all that uncommon for an average golfer to get an eagle (two under par), particularly on an easy par four...and this, too, would yield a score of two. Back-to-back twos while perhaps a bit unusual for an average golfer, are common everyday occurrences for professional golfers.
Such odds cannot be accurately calculated.
The answer depends on the course - or the par values for each of the holes - as well as your skills, and luck.
Your odds of being struck by lightning at any time is about 1 in 250,000. If you are playing golf and there is lightning, your odds drop to about 1 in 10,000.
Very slim because it is easiest to get an eagle on a par 5 but you could hole out and that's why it is rare
The odds are 75%
The odds are 50-50.
the odds of getting a hole in one is 12,500 in 1. This is a very slim chance.
The chances of having triplets or more is 1 in 8100 and odds having quadruplets are 1 in 729,000
The odds are 3-5 out of a 100 will have ADHD.
The odds of having sextuplets are 1 in 3,939,040,643.
The odds are 7/10