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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 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 prize for WinOne were increased to $200 for matching both the letter and the digit, what would the expected value be?
ОА.
-$0.80
OB. $0.65
C. $0
OD. $0.80

Sagot :

yahlisharivera
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 =
No of ways to win = 1
So probability to win =
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 1
xp -
Expected value = 0.38889
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