What is the probability that specifically $i$ heads will arise from $n$ coin tosses?

It feels like an exceptionally very easy inquiry, yet I can not address it. All I recognize is that it is a $\frac{1}{2^n}$ opportunity that all tosses will certainly cause heads and also $\sum_{k=0}^{n} f(k, n)$ amounts to 1 offered the function.

Despite the fact that college has actually simply begun for me, this is not a research inquiry.

2019-05-04 17:11:30
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Answers: 1

This probability amounts to $f(i, n) = \binom{n}{i}2^{-n}$, where $\binom{n}{i} = \frac{n!}{i! (n-i)!}$ is binomial coefficient. This holds true due to the fact that there are $\binom{n}{i}$ means to pick which coins will certainly be direct and also each such combinaton of $i$ directs coins has the very same probability $2^{-n}$.

2019-05-08 04:31:34