Expected Value

Expected Value

9th - 12th Grade

18 Qs

quiz-placeholder

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Expected Value

Expected Value

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSS.MD.A.2, 8.EE.C.7B, HSF-LE.A.1B

+3

Standards-aligned

Created by

Michelle Hills

Used 92+ times

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

yes
no

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

CCSS.HSS.MD.B.5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning ticket is $800. What is the expected value (after paying for the ticket)?

$800

-$6.50

-$6

-$5.20

Tags

CCSS.8.EE.C.7B

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

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?

2.00

2.13

1.97

1.27

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

You pick a card from a deck. If you get a face card (12/52), you win $5. If you get an ace (4/52), you win $30. For any other card (26/52), you win nothing. Find the expected value you will win.

$5.00

$3.55

$4.04

$3.46

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A game involves rolling a colored die with three red sides, two green sides, and one blue side. A roll of a red loses. A roll of green wins $2.00. A roll of blue wins $5.00.  The charge to play the game is $2.00. What is the expected value

$0
-$0.50
$.67
$-1.50

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

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