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AMDM Venn Diagram and Expected Value Quiz

Total questions: 16

Worksheet time: 38mins

Name
Class
Date
1.
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
a)
14
b)
4.67
c)
5
d)
7.5
2.
If the expected value is negative, are you expected to win?
a)
yes
b)
no
3.
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?
a)
$12.50
b)
$5
c)
$7.50
d)
$10
4.

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?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0

5.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

6.

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)?

a)

$800

b)

-$6.50

c)

-$6

d)

-$5.20

7.

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwise. Is this a fair game?

a)

yes

b)

no

8.

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?

a)

lose an average of $5.50

b)

lose an average of $1.50

c)

win an average of $2.00

d)

lose an average of $10.00

9.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

10.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
11.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
12.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in the orchestra?

a)

16

b)

21

c)

31

d)

36

13.

The middle school offers art, band, and choir. 30 students are in choir. 30 are in band. 25 are in art. 12 students take choir and art. 4 students take band and choir.


What number belongs in the shaded area?

a)

18

b)

12

c)

30

d)

14

14.

Which of these is something both whales and fish have in common?

a)

live birth

b)

lay eggs

c)

have fins

d)

have hair

15.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
16.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"