In a two-player game, five cards, numbered 1 through 5, are placed in a bag. A card is drawn at random, and the players look at the number. Which of the following scoring rules makes a fair game?

If it is greater than 2, Player 1 earns 2 points. If not, Player 2 earns 2 points.

If it is less than 2, Player 1 earns 3 points. If not, Player 2 earns 2 points.

If it is greater than 3, Player 1 earns 2 points. If not, Player 2 earns 2 points.

If it is less than 3, Player 1 earns 3 points. If not, Player 2 earns 2 points.

Answer:Step-by-step explanation:Player 1:Player 2:We notice that:is equal toAnswer:If card value is less than 3, Player 1 earns 3 points. If not, Player 2 earns 2 points.Step-by-step explanation:If value of card is greater than 2, Player 1 earns 2 points. If not, Player 2 earns 2 points.

1.2EP(P1P(card value <=2) = P(1,2) = 2/5 = 0.4

Note that this probability is 1 – P(card value > 2) = 1- 0.6 = 0.4

0.8EP(P2)