So you're saying that if I apply for 3 hunts with 33.33% odds that I have a 100% chance of drawing. Or if I apply for 5 hunts with 20% odds I have a 100% chance of drawing. Not trying to be a smart a$$ but applying for 5 hunts with 1% odds doesn't give you a 5% chance of drawing.
No prob. I am violating some rules of probabilities with my oversimplifications to be sure. If I put in for 3 hunts each with 33.33% odds, I will draw 0, 1, 2, or 3 tags each year. There are various probabilities of each outcome. I forget if it is Bayes Theorem or what, but it can be calculated, which I am not going to do. My oversimplifications is on average you will get a hunt a year.
If I put in for 5 tags in 5 separate draws, every year for 100 years, each with a 1% chance of drawing in a given year, again over simplified, I would expect on average to draw 5 tags in 100 years. So for 5 separate trials or draws, each with a 1% chance of draw, measured over the same 100 years, in any given year my chance of drawing a tag is oversimply stated to be 5%. It never works that way, but I could draw a tag in year 1, 21, 41, 61 and 81, right? That is essentially what I am calling an oversimplified 5% chance of a tag, on average, in a given year. It would make a probabilities and statistics professor faint, as this is a gross oversimplification.
I'm not going to do an actual mathematical analysis, but can say the more 1% draws you enter and the longer you stay in them, the greater the odds you experience should come to the stated draw odds. A little law of large numbers with slight nod to standard deviations... If I am all wet, toss buckets, I have good rain gear.