A Game of Chance

Games of chance do not involve

• money.

• skill.

• probability.

• technology.

Tags

CCSS.HSS.MD.B.5

True or False: In a game of chance, each outcome is related to the previous outcome.

• True

• False

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Expected value is the ________ one can expect over many repeated trials.

• best outcome

• total combination of outcomes

• average outcome

• worst outcome

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.4

True or False: Expected value does not have to be a possible outcome that can be achieved in one turn.

• True

• False

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

Which of the following best describes how to calculate expected value?

• Add each possible outcome together, and multiply the sum by the probability of the least likely outcome.

• Multiply each possible outcome by its probability, and add each product together.

• Multiply each possible outcome by itself, and add each product together.

• Add each probability together, and multiply it by the sum of each possible outcome.

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.4

Possible outcomes should always account for ________ when calculating expected value.

• exchange rate

• time

• inflation

• cost to play

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

In a game with 10 floating ducks, there are 2 ducks with a green dot on the bottom, 3 with a blue dot and 5 with a red dot. What is the probability of selecting a green duck?

• 0.2

• 0.3

• 0.5

• 0.8

Tags

CCSS.HSS.CP.A.1

Which of the following probability distributions correctly represents the scenario below?

In a game with 10 floating ducks that costs $3 to enter, there are 2 ducks with a green dot, 3 with a blue dot and 5 with a red dot. Green ducks win $8, blue ducks win $2 and red ducks win $1.

• 
• 
• 
• 

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.CP.A.1

CCSS.HSS.MD.A.1

Which of the following expressions correctly shows an expected value calculation for the probability distribution below?

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

The expected value of a fair game is

• zero.

• less than one.

• greater than one.

• between -1 and 1.

Tags

CCSS.HSS.MD.B.5

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2