MATH SOLVE

4 months ago

Q:
# Two players A and B play a marble game. Each player has both a red and blue marble. They present one marble to each other. If both present red, A wins $3. If both present blue, A wins $1. If the colors of the two marbles do not match, B wins $2. Is it better to be A, or B, or does it matter?

Accepted Solution

A:

Answer:Step-by-step explanation:A has one red and blue marble and B has one red and blue marble.Hence selecting one marble is equally likely with prob = 0.5Since A and B are independent the joint event would be product of probabilities.Let A be the amount A wins.If each selects one, the sample space would be (R,R) (R,B) (B,R) (B,B)Prob 0.25 0.25 0.25 0.25A 3 -2 -2 1E(A) 0.75 -0.5 -0.5 0.25 = 0The game is a fair game with equal expected values for A and B.It does not matter whether to be A or B