Needed quicka state offers two lottery games, winone and playball. both games cost $2 per ticket. -in winone, the player picks a single letter from a to j and a single digit from 0 to 9. if both the letter and the digit match the letter and the digit picked on that day, the player wins $150. -in playball, the player picks a single letter from a to t and a single digit from 0 to 9. if both the letter and the digit match the letter and the digit picked on that day, the player wins $280. if the cost of a playball lottery ticket were changed to $1 and the prize to $250, what would the expected value be? a)$-0.85 b)$-0.25 c)$0.25 d)$0.75

We have to find the expected value for the PlayBall lottery. 
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.

Now we have to find the probability of winning and losing.

Number of letters from A to T = 20
Number of digits from 0 to 9 = 10

Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10

Thus, the Probability of picking up the same letter and same number that was picked on that day = 

Thus, the probability of winning = 1/200

The probability of losing = 

The expected value E for the PlayBall lottery will be:



Thus, the option C gives the correct answer