Question

One hundred draws will be made at random without replacement from a large box of numbered tickets. There are two options:

i) To win $1 if the sum of the draws is bigger than 710.

ii) To win $1 if the average of the draws is bigger than7.1

WHich is better? Or are they the same? Explain.

Answer 1

They are the same

Explanation:

One hundred draws are made at random.

The average of a list of numbers equals the sum of the numbers divided by how many numbers there are.

So, when the sum of the 100 draws is 710, the average of the draws will be

710/100 = 7.1

So, when the sum of the draws is bigger than 710, the average of the draws will be bigger than 7.1.

Therefore, the two chances are the same.