Plum@lemmy.worldM to Wikipedia@lemmy.worldEnglish · 5 days agoMonty Hall problemen.wikipedia.orgexternal-linkmessage-square25linkfedilinkarrow-up191arrow-down13
arrow-up188arrow-down1external-linkMonty Hall problemen.wikipedia.orgPlum@lemmy.worldM to Wikipedia@lemmy.worldEnglish · 5 days agomessage-square25linkfedilink
minus-squarezout@fedia.iolinkfedilinkarrow-up4·5 days agoOk, assume you pick door number one. There’s three possibilities; the car is either behind door number one, two or three. Now: First scenario, the car is behind door number one. Monty opens door two or three, you switch doors and don’t win a car. Second scenario, the car is behind door number two. Monty opens door three, you switch doors to number two and win a car. Third scenario, the car is behind door number three. Monty opens door two, you switch doors to number three and win a car. So two out of three times, you’ve won a car by switching doors. So you have a 2/3 chance of winnin by switching, or a 1/3 chance by not switching.
minus-squareValmond@lemmy.worldlinkfedilinkEnglisharrow-up2·5 days agoVery good explanation, thanks! I didn’t provide the exact numbers, but stated that because the odds are now better for a random selection, is the reason for switching. Am I that bad at explaining 😭
Ok, assume you pick door number one. There’s three possibilities; the car is either behind door number one, two or three. Now:
So two out of three times, you’ve won a car by switching doors. So you have a 2/3 chance of winnin by switching, or a 1/3 chance by not switching.
Very good explanation, thanks!
I didn’t provide the exact numbers, but stated that because the odds are now better for a random selection, is the reason for switching. Am I that bad at explaining 😭