Question

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below. Point Values for Marble Game Black Marble Points Red Marble Points Both black: +2 points Both red: +4 points Different colors: –1 point Different colors: –1 point If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?

Answer 1

This will give Seth the value of 0.24 to the black marble and 0.16 to the red marble. So if Seth will choose that can make him correct, he should choose the one who has higher probability that will help him. So between the two values, Seth should choose the black marble which is 8 points higher than the red marble.