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Math Support: Expected Value Practice Worksheet
1. Find the Expected Value from the table:
400
-800
I Outcome Value
Probability
417
317
I
2. What is the expected value of spinning the wheel to the right
once?
3. In a board game, players take turns spinning a wheel with 4 spaces and values of
$100, $300, $400, $800. The probability oflanding on $100 is 4-9. The
probability oflanding on $300 is 2/9. The probability oflanding on $400 is 2/9.
The probability oflanding on $800 is 119. What is the expected value of spinning
the wheel once?
4. In question 3, what is the expected value of spinning the wheel 5 times?
5. In a game, 2 players each flip a coin. I fboth land on heads, player A gets 2
points and player Bioses 1 points. Ifboth land on tails, player B gets 2 points and
player A loses 1 point. Find the expected value of the game for each player.
6. In basketball, you can earn 3 points for a shot and 1 point for a free throw. If
Sam's probability of getting a 3-point shot is 4/10 and 8/10 for a free throw, what
is his expected value for the game?
7. At a raffle, 25 tickets are sold at $1 each for 3 prizes of $100, $50, and $10. You
buy 1 ticket. What is the expected value of your gain?
8. What is the expected value of rolling a die that has 6 sides?
9. On Jeopardy there are 5 monetary categories- $100, $200, $300, $400, and $500.
Each of them has an equally likely chance of popping up. What is their expected
value?
10. At a fundraiser, 8000 tickets are sold at $10 each for four prizes: a new car worth
$30,000, a European vacation worth $9000, a home theater system worth $4000,
and a cash prize of$1000. You buy 1 ticket. What is the expected value of your
gain?
NAME: UNIT 4 •
lesson 4: Creating a Spinner from Data
Prerequisite Practice 4.4.1: Calculating Expected Value
Find the expected value of winnings for each game.
1. Jennifer is playing a game at an amusement park. There is a 0.1 probability that she will score
10 points, a 0.2 probability that she will score 20 points, and a 0.7 probability that she will score
30 points. How many points can Jennifer expect to receive by playing the game?
2. Luanda played a game in which she could win 10 points with a probability of 0.2. There is a
0.8 probability that she will not win any points. How many points can Luanda expect to win?
3. Rudy is purchasing a toaster. Ofthe toasters in the store, 70% cost $10,20% cost $20, and 10%
cost $50. How much can Rudy expect to pay for a toaster?
4. Half of the players of a game win 100 points, and the other half win 200 points. How many points can Edie expect to win if she plays the game? 5. Matt wants to purchase a book at Jo's Bookshop. Ofthe books in the shop, 60% cost $10 and 40% cost $12. How much can Matt expect to pay for a book at Jo's Bookshop? Georgia Mathema~cs 1 Support Teacher Resource Binder @
2010 Walch Educallon
NAME:
UNIT 4· Lesson 5: Applying Expected Value Prerequisite Practice 4.5.1: Calculating Expected Value
Find the expected value of winnings for each game.
1. Juan is playing a game in which he can win $100 with probability 0.1, $200 with probability 0.2,
or $300 with probability 0.7. What is the expected value ofJuan's winnings?
2. Marina is playing a game in which she needs to throw a ball into a bucket. If she throws the
ball into the bucket, she will win $100; if not, she will win $0. The probability that Marina will
throw the ball into the bucket is 0.2. What is the expected value of Marina's winnings?
3. Linda estimates the number of questions she answered correctly on a test. She answered
10 correctly with probability 0.6, 20 correctly with probability 0.3, and 50 correctly with
probability 0.1. What is the expected value of the number of questions Linda answered
correctly?
4. Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she
will win $10. If she chooses the orange marble, she will win $200. What is the expected value of
Mara's winnings from the game?
5. Benjamin plays a game in which he will win 110 points with probability 0.6 and 120 points with
probability 0.4. What is the expected number of points that he will win by playing the game?
Georgia MatIlematics 1 Support Teacher Resource Binder ---
C 2010 Walch Education
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