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Mathematics

9th - 12th Grade

CCSS covered

Used 5+ times

Geometric Probability & Expected Value
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

yes
no

Tags

CCSS.HSS.MD.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$11.25

$7.50

$10

Tags

CCSS.HSS.MD.A.2

3.

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.B.5A

4.

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 is to be $800. How much money do you take home (after paying for it)?

$800

-$6.50

-$6

-$5.20

Tags

CCSS.HSS.MD.B.5A

5.

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.B.5A

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50, a 35% chance it will be worth $60 and a 25% chance it will be worth $70.
What expected value does this broker assign to this stock's end-of-the-year price?

$58.50
$60.00
$62.50
$65.00

Tags

CCSS.HSS.MD.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

14
4.67
5
7.5

Tags

CCSS.HSS.MD.A.2

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