Relative Frequency and Probability
A hen laid exactly 6 eggs each week for 3 weeks of a 12 week period. The same hen also laid 4 eggs or fewer each week for 6 weeks during the same 12 week period.
Question 1
Based on the data, what is the probability that the hen will lay exactly 6 eggs next week?
Responses
A 3/4
B 1/6
C 3/6
D1/4
It is not possible to determine the exact probability without additional information such as the total number of eggs laid during the 12 week period or the hen's laying behavior.
To find the probability that the hen will lay exactly 6 eggs next week, we can use the concept of relative frequency.
In the given data, the hen laid exactly 6 eggs each week for 3 weeks out of a total of 12 weeks. So, the relative frequency of the hen laying exactly 6 eggs is 3/12, which simplifies to 1/4.
Therefore, the probability that the hen will lay exactly 6 eggs next week is 1/4.
So, the correct answer is option D) 1/4.