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A 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 Tand 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

B5025

c. $025

D $0.75

Respuesta :

Answer:

Step-by-step explanation:

Given that  In Playball, the player picks a single letter from A to Tand 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, changed to 250.

Game cost = 1 dollar

There are 20 alphabets and 9 digits

No of ways to select at random = [tex]20*9 = 180[/tex]

No of ways to win = 1

So probability to win = [tex]\frac{1}{180}[/tex]

Since he has to pay 1 dollar whether he wins or not

PDF of X amount net won or net value would be

X   -1        249   Total

p    [tex]\frac{179}{180}[/tex]     [tex]\frac{1}{180}[/tex]         1

xp  -[tex]\frac{179}{180}[/tex]    [tex]\frac{249}{180}[/tex]        [tex]\frac{70}{180} =\frac{7}{18}[/tex]

Expected value = 0.38889

Answer:

C. $0.25

Step-by-step explanation:

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