Three intelligent women were applying for a computer job for which they were equally qualified. The interviewer, who was also pretty smart and liked games of logic (she was a retired math teacher), decided that the job would go to the applicant who could first solve this problem:

The interviewer said: "I will blindfold you and place a mark on each of your foreheads. Each of you will either have a black or a white mark. When I tell you to take your blindfolds off, you are to raise your hand if you see a black mark on the foreheads of either of the other applicants. The first one that correctly tells the color of your own mark will get the job."

All three women raised their hands at the same time. One of them, however, came up with the correct color of her own mark. What color is her mark, and how did she figure it out?

For the answer (try not to look right away!).

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