what if they didn't guess similtaneosly but they had a predetermined order. i did the math with the same strategy and i think i found that it was still 3:4 odds of winning.
1:1 odds of winning if the first person guesses (right 50%)
1:0 odos if the second person guesses (right 100%)
1:0 odds...
2^3 possibilities or eight chances
2 chances with all the same color
6 chances with 2 hats of one color and one of the other color
does that make it 3:1 odds?
here is a question that i am having trouble with for my math class:
Three players enter a room and a red or blue hat is placed on each person’s head. The color of each hat is determined by independent coin tosses. Each person can see the other player’s hats but not his/her own. No...