QUESTION 1 Another very well known version of the logic puzzle that we saw in th

Question

QUESTION 1 Another very well known version of the logic puzzle that we saw in the lecture notes. This version involves a group of logical children wearing hats Imagine three girls in a dassroom sitting in a circle, each wearing either a red hat or a white hat. Suppose that all the hats are red. When the teacher asks if any student can identify the color of her own hat, the answers is always negative, since nobody can see her own hat. The teacher then remarks that there is at least one red hat in the room. After making the remark, then the teachers asks sequentially to each girl what is the color of her hat What does the first girl asked answer? What does the second girl asked answer? What does the third girl asked answer? Please writle a short paragraph specifying what each girl answers and why. Hint: This is similar to the math faculty problem we covered in the lecture notes. The differenoe is that the teacher now asks sequentially each girl. TTTArial Path Words 0 ?

Explanation / Answer

the only possible combinations are rww,rrw,rrr. the first girl sees 2 reds. So she can be either be red or white. First, says ,’I don’t know’ .1 knows there is at least one red hat, and since she doesn't know her hat color, 2 and/or 3 must have a red hat. 2 will keep knowing that 3 has a red hat, and 3 will keep knowing that 2 has a red hat

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