# Conditional expectations

53 views
asked Nov 9, 2017

In the above paper, for Question 5, the memo uses the following statement.

$$E[v^{K_{60}+1}|K_{60}\ge 10]=E[V^{K_{70}+11}]$$

I was under the belief that we are only allowed to drop the conditional part of an expectation if the random variables were independent. i.e. $$K_{60}$$ and $$K_{70}$$ were independent. However, surely $$K_{60}$$ and $$K_{70}$$ are not independent?