Please, let me call bullshit on this one before anyone else.
You've been playing since alpha, so you've been playing for at least one year (since alpha ended middle of august last year) and two weeks. In 380 days, assuming an average of 60 gold per day (daily + wins, since some dailies are 40, some 60, there's a 100 one even), you got enough gold to open 228 packs. The odds of not finding one legendary in 228 packs are about 0,0008336%. Without even assuming crafting.