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I was IN the Monty Hall problem! (and chose to switch)

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I was IN the Monty Hall problem! (and chose to switch)

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ترجمة (19)

0:00Math helped me win a gameshow! At a comiccon, I joined a pop culture  
0:03gameshow with trivia questions, a bit of public  humiliation and - ultimately - a math problem.
0:10The final game in this show was a game of  chance. I had to choose 1 out of 3 boxes,  
0:14and only one of those boxes had a prize.  THEN the host opened an unchosen box and  
0:20showed that it was empty. He then asked  me whether I wanted to switch boxes.
0:24At this moment, I realised that I was part  of a famous Math problem -the Monty Hall  
0:29Problem - in real life, which was super  exciting. And before you say “Lizah you  
0:33are a NERD!” - I was at a comic con, playing  a pop-culture quiz dressed in a Warhammer  
0:38costume. Being excited about math isn’t even the  nerdiest thing that’s going on in this scenario.
0:43Anyway, about the game. I knew I had  to switch boxes. And this is why.
0:47When I made my original choice, there was  a 1/3 chance that I would choose a box with  
0:51a prize in it. But a 2/3 change that this  prize would be in one of the OTHER boxes.
0:56When the host took the empty box out of the  equation, there were two boxes left. This  
1:00makes us feel like the odds are now 50/50. But it is not, it’s still about the original  
1:05three options. The odds remain the same:  1/3 for your box and 2/3 for the other  
1:10two. What did change is that the 2/3 are now  concentrated into one box instead of two. It's  
1:16like that box is now "heavier" with chance. So the moment the host showed me that one box  
1:20was empty and allowed me to switch boxes, he gave  me a chance to switch bets and increase my odds.
1:25And that’s how….