What is the expected value for a single roll? 5.5556 (Round to four decimal places) Two Rolls If we chose to pass the dice, then we would bank those points. If we chose to keep rolling, then in order to be successful we would need to roll no 1's twice. However, we would expect to get twice as many points IF we were to roll successfully. This would give us: 25 2 P(success) = 36 25 2 P(failure) = 1 - 36 Value(success) = 16 Value(failure) = 0 What is the expected value for rolling twice? (Round to four decimal places) More Rolls As you can see, if we chose to roll even more times, then we could calculate the probabilities and values in a similar way. If we were to roll n times, then we have: P(success) 25 n