Let's do a multinomial experiment i.e. there are \(m\) no. of possibilities on each trial and we do \(n\) number of trials.

Moreover, the probability of getting a particular possibility at \(i\)th trial also varies, each differently, like \(a_k(i), 1 \le k \le m\)

What is the expected number of times of getting a particular possibility (let's say the one with index 1)?

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TopNewestThe answer is \(\displaystyle \sum_{i=1}^n {a_k(i)}\) for the \(k\)th possibility. – Kartik Sharma · 6 months, 1 week ago

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