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Math 2 - Practice 10.3/10.4

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
What is the probability of drawing a 2 or an ace?  Is this event mutually exclusive or inclusive?
a)
mutually exclusive 
b)
inclusive
2.
Is the following mutually exclusive or inclusive?
Probability of drawing a queen or a diamond from a standard deck of cards.
a)
mutually exclusive
b)
inclusive
3.
The enrollment at Southburg High School is 1400.  Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.  What is the probability that a student selected randomly takes French or algebra?
a)
1250/1400
b)
700/1400
c)
550/1400
d)
17/28
4.
A die is rolled.  What is the probability of rolling a 5 or a number greater than 3?
a)
2/3
b)
1/2
c)
5/6
d)
1
5.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
6.
Which of the following shows how to determine P(skateboard or rollerblades)?
a)
48/100 + 42/100 - 39/100
b)
39/100 + 3/100 - 49/100
c)
49/100 + 9/100 - 3/100
d)
9/100 + 3/100 - 39/100
7.
Which of the following shows how to determine P(packers or male)?
a)
75/150 + 90/150 - 50/150
b)
75/150 + 35/150 - 25/150
c)
50/150 + 40/150 + 25/150
d)
90/150 + 50/150 - 75/150
8.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?
a)
13/52
b)
26/52
c)
39/52
d)
Not possible
9.

Which operation is used when dealing with OR probability?

a)

addition (+) and sometimes subtraction (-)

b)

division (/)

c)

multiplication (x)

d)

subtraction (-)

10.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?
a)
8/15
b)
6/11
c)
3/4
d)
2/3
11.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
12.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
13.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
14.
The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that the a women is chose given they liked the color blue? 
a)
4
b)
.4
c)
.1
d)
.25
15.

Consider the following table with information about all of the students taking Statistics at Happy High School.


Find P( Female | Part-time) =

a)

15/31

b)

43/71

c)

31/43

d)

15/43

16.

Given the following VENN Diagram answer the following.


P( A | B )

a)

2

b)

.4

c)

.6

d)

.8

17.

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

a)

59.5%

b)

10.5%

c)

1.6%

d)

Not enough information

18.

A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement (that means they keep them!). If the first marble drawn is red, what is the probability that the second marble drawn is blue?

a)

24.5%

b)

42.9%

c)

57.1%

d)

66.7%

19.

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

a)

60%

b)

40%

c)

24%

d)

1.7%

20.

What is P(T given C)?

a)

45%

b)

29.6%

c)

40%

d)

33.3%