Math. Confused and lost

Question

What is your expected value for a game where your probability of winning is 1/9 and your profit is four times your wager? (Round your answer to one decimal place.)

Answer 1

For every 9 times you play the game you can expect to win 1 time.  

 

When you win, your profit is 4 times your wager.  You get back your profit plus your original wager, or 5 times your wager total.  

 

So for every 9 times you play you can expect to collect 5 times your wager once.  

 

So your expected value is 5/9 ~ 0.6