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Multinomial Formula

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Multinomial Formula. The number of times k i that the outcome i occurs is called its frequency. Where the numberarguments are one or more integers or arrays of integers for which you want to calculate the multinomial.

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Multinomial theorem for a positive integer k k k and a non negative integer n n n x 1 x 2 x k n b 1 b 2 b k n n b 1 b 2 b 3 b k j 1 k x j b j. Multinomial number1 number2. N 2 2 number won by player b n 3 3 the number drawn p 1 0 40 probability player a wins p 2 0 35 probability player b wins p 3 0 25 probability of a draw the formula for k outcomes is.

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For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the. Consider a b c 4. Note that the binomial distribution is a special case of the multinomial when k 2. The multinomial theorem provides a formula for expanding an expression such as x 1 x 2 x k n for integer values of n.

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