Hi Aquafina,

If we think of the chilies as being numbered from 1 to 6 in order of eating, the hot one is equally likely to be 1, 2, 3, 4, 5, or 6. The first player gets it if if it is number 1, 3, or 5; the second player gets it if it is number 2, 4, or 6. So each player gets the hot chili with probability 1/2.