You noted that the existence of sentient life is a necessary condition for anyone to observe life, and that this might imply that no explanation is needed for such a vastly improbable event. This reasoning is flawed. Here's a scenario that explains why:
Imagine you live in a totalitarian country that kills of many of its people by means of a firing squad. You find yourself one of the 10 million sent to a firing squad and find yourself in front of 15 sharp shooters. From a distance of only 10 meters, they all shoot at you and miss. You think to yourself, "Hey, lot's of people get sent to the firing squad. Surviving is unlikely, but hey, I survived. Therefore, I shouldn't be surprised that I'm alive for otherwise, I wouldn't be able to make this observation. Hence, me surviving needs no other explanation."
The above reasoning is flawed. First, when you compare the number of "attempts" for someone to survive with the likelyhood of surviving, the event of surviving is still very unlikely. Indeed, suppose each "sharp shooter" misses 5% of the time, or 1/20. Then for all 15 shooters to miss you, then (assuming independence, which is a reasonable assumption if we assume the misses were not intentional), the likelyhood of them all missing you is (1/20)^(15), which is less than 1/10^(19). Given 10 million "attempts" at survival, there's still less than 10^(7)/ 10^(19) or 10^(-12) chance of anyone surviving. That's one in a trillion, even given the 10 million "attempts" at survival. Such an unlikely event does strongly suggest that some explanation is needed.
(Note: I read a form of the above hypothetical scenario in some book that I read over a decade ago.)
Here is a much simpler example showing if condition T is necessary for condition A to occur, that doesn't mean A is explained away by T. Indeed, let A be the event that you get a 100% on a calculus exam, and let T be the event that you take a calculus exam. Clearly T is necessary for A to occur and yet the mere occurrence of T (to take the exam) does not explain why A happened (i.e. that you got a 100% on it).
But the universe is so big and so old...
The rest of this answer is my response, as a mathematician, to the answer by Barmer (which currently is the top voted answer).
He claimed, "The universe is big, really big, and it contains an unimaginably large number of planets...
"...So even if something is almost impossible, there's a decent chance it has happened at least once, and possibly even multiple times."
This claim is not correct. This is because exponential functions grow extremely fast, and independent probabilities build exponentially.
According to this source, even simple cells have 42 million proteins in them. Suppose that the simplest imaginable cell needs only 100 proteins (whether different or whether some are allowed to be exact replicas is not super relevant to the calculation below).
Proteins are folded up chains of amino acids, of which there are 20. Many proteins are hundreds of amino acids long. So a chain of length only 150 amino acids has 20^(150) different possibilities.
Suppose that for each of our (assumed necessary) 100 proteins is at least 150 amino acids long and that for each of them, there are an enourmous 20^(120) different chains of amino acids that would work equally well to yield the needed function for that protein. That means a random 150 amino acid chain has chances of at most 20^(120)/20^(150) or 20^(-30) of happening by chance (in any one "attempt"). In one "throw of the dice" of making 100 proteins, the chances of all of them being functional is thus 20^(-30) raised to the 100, which is 20^(-3000). Actually, 20^(-3000) is off, due to being able to reorder 100 proteins in 100! (100 factorial) ways. Since, 100! < 20^(122), the probability bound in this example is 20^(-3000+122), or 20^(-2878).
The universe really is big. Indeed, some physicists estimate that there are 10^(80) atoms in the observable universe. Sure it's old: 13.7 billion years, which is less than 10^(30) picoseconds. If in each picosecond since the big bang, each and every atom of the universe "threw dice" to give an attempt for our 100 (assumed necessary) proteins, then that's only 10^(80+30) = 10^(110) attempts. If instead, each atom "attempted" to get all the proteins 10^(20) times each picosecond, then the number of attempts increases to 10^(130). Compare that number of attempts with the probability 20^(-2878). Sorry, but the size and age of the universe is no match for this probability.
The above scenario is only meant to show how easily one can arrive at a small probability for abiogenesis to occur without the input from a designer/creator. I have not proved that 100 proteins are necessary. I am just showing that it is extremely easy to calculate a probability for abiogenesis that far surpasses the number of attempts inside this one universe.