Answer to Question #305865 in Statistics and Probability for Anthony

Question

A game consists of drawing one card from a deck of cards. If the card drawn is a face card, the player wins P100.Otherwise, he loses P30. Determine if the game is fair

Answer 1

There are 12 face cards in a deck.

$E(X)=100*\frac{12}{52}-30*\frac{40}{52}=0.$

The game is fair.