M4U7D3 - Rubber Duckie Worksheet

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

Tags

CCSS.7.SP.C.7B

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

Tags

CCSS.HSS.MD.A.2

True/False: A player that plays the game just once can earn the expected value.

• True

• False

Tags

CCSS.HSS.MD.A.2

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

Tags

CCSS.HSS.MD.B.5A

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

Tags

CCSS.7.EE.B.3

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

Tags

CCSS.7.EE.B.3

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

Tags

CCSS.7.EE.B.3