auuing LIC ICSuits UI LITE LWU UILE. IIICIE alt LJ ways to successfully FULL LIC UILE allu I I ways to "unsuccessfully" roll the dice, where "success" is not rolling a 1 on either die. Single Roll When we take the mean of the 25 successful rolls we get 8. We will assume that on a successful roll, the player earns 8 points. 25 P(success) = 36 11 P(failure)= 36 Value(success) = 8 Value(failure) = 0 What is the expected value for a single roll? 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