unsinkable rubber duck resilience

As for the Lotto rules, it’s my understanding that the Bonus ball is always the one drawn last. That is, for the draw 5, 6, 7, 8, 9 with 10 as the PowerBall, the 10 must necessarily have been the last ball drawn after the other five, but those five can be drawn in any order.

Ok, got it.

... on average a sequential numbers draw (any order) occurs once in every 317 814 draws (probability ≈ 0.000 003 146 5), and a sequential numbers draw where the last ball is the one with the highest number in the sequence will occur once in every 1 906 884 draws (probability ≈ 0.000 000 524 42).

Nice work. But I'd keep such odds a secret from above mentioned family and acquaintances ... it can only add fuel to the fire.

Incidentally, what is wrong with this solution (ignoring the PowerBall complication):

Total possible number of runs = 44 ( [1,2,3,4,5,6], [2,3,4,5,6,7], [3,4,5,6,7,8] ....... [44,45,46,47,48,49] )

Total possible combinations = 49!/43! = 10 068 347 520

Therefore, probability of drawing a run = 44/10 068 347 520

≈ 4.4 × 10⁻⁹ which is admittedly orders of magnitude too small.