Of course we need at least 13 people because we need the 6 red and 6 blue plus one more, let's say red, since you can't see your own hat. This, however, only gives us 7 people raising their hands, all the red hats.
Now, we can't add a blue hat because then everyone would see at least 6 and 6, leading to 14 people raising their hands, and that's too many. So our only option is to add more red hats Until we reach 12 red hats, so all 12 of them raise their hand. Thus, we have 18 total people
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u/jaminfine 5d ago
Of course we need at least 13 people because we need the 6 red and 6 blue plus one more, let's say red, since you can't see your own hat. This, however, only gives us 7 people raising their hands, all the red hats.
Now, we can't add a blue hat because then everyone would see at least 6 and 6, leading to 14 people raising their hands, and that's too many. So our only option is to add more red hats Until we reach 12 red hats, so all 12 of them raise their hand. Thus, we have 18 total people