Ophelia's death in Act 4

So as the title implies, Ophelia died. It was rather sudden and out of no where like wow she's dead when did this happen. I've kinda noticed that death isn't really important in Hamlet. It's nothing like Othello where when a character died it was a big deal. However right before Ophelia died she wanted to speak to the queen. In that scene she acted a little mad in which she would start singing as a response to everything. I kinda think she acts this way because well of course her father died but it's much more. Without her father, the man controlling her she's lost with no direction. She is that weak character that needs an authority figure and without one she's lost. Shakespeare used her death to display that death is simply arbitrary. It's just a means to an end. But in the case of Ophelia she was weak and died. We can refer back to Hamlets to be or not to be soliloquy in which he Saids we must bear to troubles we have for the unknown troubles may be much worse.  Ophelia was one of the few who were too weak to deal with her troubles and perhaps that's why she died. Not only that but her death was used to fuel the idea that women are weak.