Expected value Review

In a game you flip a coin twice, and record the

number of heads that occur. You get 10

points for 2 heads, zero points for 1 head, and

5 points for no heads. What is the expected

value for the number of points you'll win per turn?

Tags

CCSS.HSS.MD.A.2

A game consists of rolling a colored die with three green sides, two red sides, and one blue side. A roll of a red loses. A roll of blue pays $6.00. A roll of green pays $2.00. What is a "fair" price to pay to play? (What is the expected value of one play?)

Tags

CCSS.HSS.MD.B.5A

If the expected value is negative, are you expected to win?

• yes
• no

Tags

CCSS.HSS.MD.A.2

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

• $1

• $0.50

• -$0.50

• $0

Tags

CCSS.HSS.MD.B.5A

A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?

• lose an average of $5.50

• lose an average of $1.50

• win an average of $2.00

• lose an average of $10.00

Tags

CCSS.HSS.MD.B.5A

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

• $1

• $0.50

• -$0.50

• $0

Tags

CCSS.HSS.MD.B.5A

A fair, 6-sided dice is thrown 120 times.

Roughly how many times would you expect the number 5 to come up?

• 6

• 10

• 12

• 20

Tags

CCSS.7.SP.C.6

A fair, 6-sided dice is thrown 18 times.

Roughly how many times would you expect the number 6 to come up?

• 1

• 3

• 6

Tags

CCSS.7.SP.C.6

In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.

• 2.00
• 2.13
• 1.97
• 1.27

Tags

CCSS.HSS.MD.A.2

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

• $12.50
• $5
• $7.50
• $10

Tags

CCSS.HSS.MD.A.2