3.7 Show that the probability that a sequence of n1 elements of type 1 and n2 elements...

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3.7 Show that the probability that a sequence of n1 elements of type 1 and n2 elements of type 2 begins with a type 1 run of length exactly k is

(n1)kn2

(n1 þ n2)kþ1 where (n)r ¼

(n r)!

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