You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?

Option A: 70

Option B: 65

Option C: 75

Option D: 85

Option E: 80
Option E

Question: A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 75, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

Option A: 1:2

Option B: 1:4

Option C: 5:11

Option D: 1:3

Option E: 13:15
Option A

Question: 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 C that one more throw to this series will increase the mean score?

Option A: 1/6

Option B: 1/3

Option C: 1/2

Option D: 2/3

Option E: 5/6
Option C