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Message: [QUOTE="Melancer46, post: 5078883, member: 1674"] The part I struggle to wrap my head around is this all only works if the host knows where the car is. Everything I’ve read about this problem says if the host just randomly opens a door, it’s no longer advantageous to switch. This example probably doesn’t work with just 3 doors since the host would randomly reveal the car a decent amount of the time but with the 100 suitcase example, how would randomly revealing a few goats not tilt the odds but purposefully revealing a few goats would? That’s the part I personally struggle with even though I understand the randomness is a major factor. I even kinda understand the math that explains the difference but it is admittedly still hard for me to wrap my head around. [/QUOTE]