you draw a a single card from a standard 52 deck of cards. if it is red you win $50 otherwise you get nothing what is the expected value of the game to you

Answer:$25Step-by-step explanation:Total number of possible cases in the game = 52 cards .Number of favourable cases for you to win the price = 26. (number of red                                                                                               cards in the deck)as half of the cards in the deck are red and other half are black.Thus,Probability of wining the game = [tex]\frac{26}{52}[/tex].                                                    = 0.5Now,Wining the game will pay you $50 , Thus ,Expected value of game = $50×Probability of winning.                                          = $25.