MathDB

Two boxes contain some number of red, yellow, and blue balls. The first box has

3

red,

4

yellow, and

5

blue balls, and the second box has

6

red,

2

yellow, and

7

blue balls. There are two ways to select a ball from these boxes; one could first randomly choose a box and then randomly select a ball or one could put all the balls in the same box and simply randomly select a ball from there. How much greater is the probability of drawing a red ball using the second method than the first?

Problem Statement