# Math Help - Card Game With Replacement

1. ## Card Game With Replacement

I'm studying for an EOCT and there is a question on the study guide this one has me stumped. I "get" how to figure general probability questions, but I can't wrap my head around this one due to the number of variables. If you could provide the formula you use and any explanation you are willing to share I would be so, so appreciative.

IN a game a player draws and replaces a card form a deck 2 times. The possible outcomes and payouts are shown. If Jim plays the game 50 times what is his expected value for all the games combined?

Red, Red $12 Black, Black -$5
Red, Black $0 Black, Red$5

2. find the expected value for one game, then multiply it by 50. Post again if you dont understand why that works.

3. Thanks SpringFan25..... That worked and I do understand why. I was trying to overcomplicate it since I didn't have any potential loss values.