Question

You are handed two boxes. you cannot see what is inside but you have reliable information that one of the boxes contains two green and ten red balls and the other contains eight green and four red balls. you select a ball from one of the boxes at random and take it out. it is red. which of the two boxes is it more like to have come from? what is that probability

Answer 1

The probability of the first box with 2 green and 10 yellow is 1:5
the probability of the second box with 8 green and 4 red us 1:2.
The red ball most likly came from the first box.