What is a Biased Die?Date: 03/01/2002 at 15:06:04 From: Rehan Basim Subject: Probability What is a biased die, and how do we find the probability when the dice are biased? Would you please give an example? I would be grateful to you. Date: 03/03/2002 at 23:56:32 From: Doctor Twe Subject: Re: Probability Hi Rehan - thanks for writing to Dr. Math. A biased die is the opposite of a fair die. On a fair die, every number has an equal chance of being rolled (1/6 on a cubic 6-sided die). On a biased die, some numbers are more likely to be rolled than others. This may be due to the die's shape - shaving some edges, for example, or having weights inside the die, or other means of "fixing" it. For example, a biased die might have the following probabilities: No. Prob --- ---- 1 1/12 = 1/12 2 1/12 = 1/12 3 1/12 = 1/12 4 1/6 = 2/12 5 1/4 = 3/12 6 1/3 = 4/12 ----- 12/12 Notice that the sum of all the probabilities must still equal 1. I hope this helps. If you have any more questions, write back. - Doctor TWE, The Math Forum http://mathforum.com/dr.math/ |
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