Expected Value
Authored by Brian Barringer
Mathematics
10th - 12th Grade
CCSS covered
Used 1+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
15 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
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If the expected value is negative, are you expected to win?
Answer explanation
If the result is negative you will expect to lose money.
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
CCSS.HSS.MD.B.5
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll?
$3
$18
$9
$2
Answer explanation
P(6) x $12 + P(1) x $6 - P(2 or 3 or 4 or 5) x $0
1/6 x $12 + 1/6 x $6 - 4/6 x $0
$2 + $1 = $3
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
CCSS.HSS.MD.B.5
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the mean (expected value) of the probability distribution.
85
83.2
87.1
84.4
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
CCSS.HSS.MD.B.5
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Choose an American household at random. What is the expected number of cars for that household?
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
CCSS.HSS.MD.B.5
CCSS.HSS.MD.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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?
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the expected value. READ CAREFULLY!
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
CCSS.HSS.MD.B.5
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