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In order to calculate such probability, you have to know the number of questions in that particular Myers Briggs test that refer to the Thinking/Feeling dichotomy. Assuming that you will pick answers randomly, the probability will be lower when there are more questions. For 8 questions on T/F preference, there is a 12.5% probability for a score of 0 on Feeling. For 16 questions, the probability is 6.2%. For 32 questions, the probability is 3.1%. etc. If you pick your answers according to your own beliefs, it would be very difficult to assess such a probability. However there will be a approx. 30% higher chance for a man to score 0 on Feeling than for a woman.

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Q: What is the probability of getting a zero for feelings on the Myers-Briggs test?
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