Odds of Identical NumbersDate: 7/1/96 at 23:3:50 From: Anonymous Subject: Determine Odds For example, how to figure the odds of rolling the identical number on six dice, in one roll. Also, is there one formula for determining all odds? Thanking you in advance, Courtney Smith Date: 9/10/96 at 15:9:12 From: Doctor Luat Subject: Re: Determine Odds I am not sure what you are looking for, but here is what I have to offer. We need two things to calculate the probability of something that is going to happen. The first is the number of ALL possible outcomes of what ever we set up. And second is the number of occurrences that will come out as the result of our restriction. For example, the six dice rolled. The number of all possible outcomes from rolling six dice is 6^6. That's because there are 6 possibilities for the first die, 6 for the second, and so on. So we multiply, and the number of possibilities is 6*6*6*6*6*6 = 6^6. There are six different ways the dice will be identical... all 1,2,3,4,5 or 6. Thus the probability of rolling six identical numbers at once is 6/(6^6) = 1/(6^5) = 1 in 46656. -Doctor Luat, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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