Question

the expected value of x the sum of the scores when two dice are rolled is ​

Answer 1

Answer:

7 if it help you then like

Answer 2

Step-by-step explanation:

I guess the rule of the game is that you would roll the dice then decide whether to take the amount you rolled as reward or not. If not, you would roll again and take the result of the 2nd roll as reward no matter what.

If the question is interpretted in this way, the strategy that you should follow is: Stop at the 1st roll if you do better than your expected return if you roll twice. Meaning that you should stop at the 1st roll if you get 4 ,5 or 6.

Hence, your expected return overall is: E(x) = 4*1/6 + 5*1/6 + 6*1/6 + (3.5)*3/6 = 4.25 (where 3.5 is the expected return of the 2nd roll)

Hope this helps.