Answer to Question #111602 in Statistics and Probability for Ama Arthur

Question

1. Matteo and Amber have invented a two-player game:
• For each turn, both players roll a die.
- Player 1 scores a point in the product of the two numbers is even.
- Player 2 scores a point in the product of the two numbers is odd.
• A game consists of 10 turns.
Is their game fair? Explain why or why not.

Answer 1

Their game is not fair. Player 1 should score points more often.The product will be odd when both of numbers are odd. We have three odd numbers 1,3,5, so P(odd)= (3/6)*(3/6)=0.25=25% => P(even)=100%-25%=75%.