problem 27

3.2.10 problem 27

$X$ is not Binomial becuase the outcome of a card is not independent of the previous cards’ outcomes. For instance, if the first $n - 1$ cards match, then the probability of the last card matching is $1$ .

The Hypergeometric story requires sampling from two finite sets, but the matching cards isn’t a set of predetermined size, so the story doesn’t fit.

P (X = k) = \frac{(\frac{n}{k})! (n - k)}{n!}

where $! (n - k)$ is a subfactorial.

[next] [prev] [prev-tail] [front] [up]