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12 questions
At the Homecoming Carnival, one of the games allows players to select a floating rubber ducky from a kiddie pool full of ducks. A code has been written on the bottom of each duck; the code gives the value of the prize won. There are 50 ducks in all – 2 have stars, 6 have circles, and 15 have squares. The rest of the ducks have no code.
All prizes are vouchers for the concession stand at the football game:
A duck with a star wins the player a $5.00 voucher.
A duck with a circle wins the player a $2.00 voucher.
A duck with a square wins the player a $1.00 voucher.
What is the probability of selecting a duck with a star?
2/23
2/27
2/50
23/50
What is the probability of selecting a duck with a circle?
6/23
6/27
6/50
23/50
What is the probability of selecting a duck with a square?
2/23
6/27
15/50
35/50
What is the probability of selecting a duck with nothing on the bottom?
48/50
42/50
27/50
35/50
The expected value of selecting a random rubber duckie from the kiddie pool is:
$0.74
$1.00
$2.00
$0
True/False: A player that plays the game just once can earn the expected value.
True
False
If the PTA charged $1each time the game is played, then the prize money is adjusted. The total money that the player would earn if the player selected a duck with a star is
$5
$4
$1
$0
If the PTA charged $1each time the game is played, then the prize money is adjusted. The total money that the player would earn if the player selected a duck with a circle is
$2
$1
$0
-$1
If the PTA charged $1each time the game is played, then the prize money is adjusted. The total money that the player would earn if the player selected a duck with a square is
$2
$1
$0
-$1
If the PTA charged $1each time the game is played, then the prize money is adjusted. The total money that the player would earn if the player selected a duck with nothing on the bottom is
$2
$1
$0
-$1
If the PTA charged $1each time the game is played, then the prize money is adjusted. The expected value for a player playing the game is now:
$0.74
$1
$0
-$0.26
If the PTA wanted to make this a fair game, then what price would they charge for selecting a duckie from the kiddie pool
$0.74
$1
$0
-$0.26