Probability for Correctly Guessing a Random ColorDate: 11/16/95 at 20:8:39 From: Anonymous Subject: probability Hello Dr. Math. I have a question. I am thinking of one color. There are six choices for that color. Someone guessed my color correctly. After that she said, "Let me try to guess again." She guessed correctly the second time and did this again, and again, and again, and again. What is the probability of this happening-- that someone could guess correctly in a row? Thank you. Date: 11/19/95 at 16:14:13 From: Doctor Ethan Subject: Re: probability Neat question. Well the probability depends on how many times in a row your friend guessed correctly. For each guess there are six possibilities, so your friend has a 1/6 chance of guessing right. So to guess two times in a row right your friend has a 1/6 * 1/6 = 1/36 chance of being right. Now still at each guess, the chance is 1/6. But to make a string of 12 right guesses the odds are 1/6 times itself 12 times. Does that help? -Doctor Ethan, The Geometry Forum |
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