20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability K that one more throw to this series will increase the mean score?  Pick: A) 1/6 B) 1/3 C) 1/2 D) 2/3 E) 5/6
I get the mean as 67/20 --&gt; 3.35. Thus in order to raise this mean we would need a 4,5,or 6.   Thus probability K is 1/2.1/2
<result>C</result>
20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability K that one more throw to this series will increase the mean score?