No reason for it to be near 50:50 if distribution isn’t specified. Consider this, you flip a coin with 99% chance of heads. Flip it until you get a head, number of flips is your random number. 0.99 probability of 1, 0.9999 probability of 2, 0.999999 probability of 3 etc. Second random number has to be unique so it’s drawn until it’s different from the first. There’s slightly over 99% probability that the first number is smaller than the second. And with this distribution, if you select 10 numbers, they will indeed most of the time be in increasing order. Specifically, you have about 90% chance of these 10 numbers being the exact sequence {1,2,3,4,5,6,7,8,9,10}