E(C) = k + E(x) , where E(x) is from the Binomial RV pf P(C) and for the Binomial RV. There is an easy thing to remember that you can use to get the Expected value which is E(x) = n*p where n is the number of the questions left or the number of tosses and p is the probability.

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood