Ladder Fall

$n$ people labelled $1-n$ are climbing a ladder, with person $1$ at the bottom and person $n$ at the top. Each person falls off the ladder themselves with probability $p$. If person $i$ falls off the ladder, they knock off everyone below them as well. Find the expected amount of people that fall off the ladder when $n = 10$ and $p = 0.2$ to the nearest hundredth.