Probability: Permutations and CombinationsDate: 12/10/2002 at 20:27:26 From: Apurva Yeluru Subject: Probability: Permutations and Combinations Dr. Math, I am in eighth grade. We are not doing probability but I am interested in it. Last year in our school, we had a probability fair and I could not understand it very well. Now I can! I know what probability is and what permutations are and what combinations are. But this is the part where I am stuck: How is probability related to permutations and combinations? I would be delighted if you replied. Thanks! Date: 12/11/2002 at 11:50:25 From: Doctor Ian Hi Apurva, The relationship is that when you want to compute the probability that something will happen, you do this: how many ways can the thing happen? p = ----------------------------------- how many ways can anything happen? Combinations and permutations are useful for computing the numerator and denominator of this fraction. For example, if you want to know the probability of drawing two pairs in poker, that's the number of combinations of 5 cards with 2 pairs p = -------------------------------------------------- the number of combinations of 5 cards In other words, when you're computing probabilities, you often need to compute the number of ways that things can be selected from a group (combinations) or ordered within a group (permutations). Does that make sense? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ Date: 12/14/2002 at 09:57:29 From: Apurva Yeluru Subject: Thank you (Probability: Permutations and Combinations) Doctor Ian, Thank you for the answer. It really does make sense. Now I think I can solve some problems! Apurva |
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