Download Which inequality represents the probability, x, of any event

Name: _______________________
Mr. Art
Date: _____________
Period: ___________
Review # _____
Probability
Part I: Single Events
(Experimental & Theoretical probabilities, “and”, “or”, Mutually Exclusive, Complement)
1) Mary chooses an integer at random from 1 to 6. What is the probability that the integer she
chooses is an odd number?
(1)
5
6
(2)
3
6
(3)
2
6
(4)
4
6
2) A box contains six red balls and four white balls. What is the probability of selecting a red ball
at random from the box?
(1)
1
10
(2)
6
10
(3)
4
6
(4)
6
4
3) A six-sided number cube has faces with the numbers 1 through 6 marked on it. What is the
probability that a number less than 3 and even will occur on one toss of the number cube?
(1)
1
6
(2)
2
6
(3)
5
6
(4)
4
6
4) A six-sided number cube has faces with the numbers 1 through 6 marked on it. What is the
probability that a number less than 3 or even will occur on one toss of the number cube?
(1)
1
6
(2)
2
6
(3)
5
6
(4)
4
6
5) Are the events in Question #4 mutually exclusive or not? Why?
6) A spinner is divided into eight equal regions as shown in the diagram below.
Which event is most likely to occur in one spin?
(1) The arrow will land in a green or white area.
(2) The arrow will land in a green or black area.
(3) The arrow will land in a yellow and black area.
(4) The arrow will land in a yellow or green area.
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7) If the probability that it will rain on Thursday is
5
, what is the probability that it will not rain
6
on Thursday?
(1) 1
(2) 0
(3)
1
6
(4)
5
6
8) Marilyn selects a piece of candy at random from a jar that contains four peppermint, five
cherry, three butterscotch, and two lemon candies. What would be the complement of
picking a cherry candy?
5
9
14
(1) 0
(2)
(3)
(4)
14
14
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Part II: Compound Events
(WITH replacement independent, WITHOUT replacement dependent, events in a
SPECFIC order, events in ANY order)
9) The probability that Jinelle’s bus is on time is
2
, and the probability that Mr. Corney is
3
4
. What is the probability that on any given day Jinelle’s bus is on time
5
and Mr. Corney is the driver?
driving the bus is
(1)
2
15
(2)
8
15
(3)
10
12
(4)
6
8
10) Bob and Laquisha have volunteered to serve on the Junior Prom Committee. The names of
twenty volunteers, including Bob and Laquisha, are put into a bowl. If two names are
randomly drawn from the bowl without replacement, what is the probability that Bob’s name
will be drawn first and Laquisha’s name will be drawn second?
(1)
1
1

20 20
(2)
1 1

20 19
(3)
2
20
(4)
2
20!
11) A box contains six red balls and four white balls. After two random picks with replacement,
what is the probability of selecting one red ball and one white ball, in any order?
(1)
1
10
(2)
6
10
(3)
4
6
(4)
6
4
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Part III: Counting Principle, Tree Diagrams, Sample Space, and Permutations
12) A student council has seven officers, of which five are girls and two are boys. If two officers
are chosen at random to attend a meeting with the principal, what is the probability that the
first officer chosen is a girl and the second is a boy?
10
7
2
7
(1)
(2)
(3)
(4)
42
7
13
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13) The school cafeteria offers five sandwich choices, four desserts, and three beverages. How
many different meals consisting of one sandwich, one dessert, and one beverage can be
ordered?
(1) 1
(2) 12
(3) 3
(4) 60
14) The value of 5! is
(1)
1
5
(2) 5
15) What is the value of
(1) 1,680
(3) 20
(4) 120
(3) 2!
(4) 4!
8!
?
4!
(2) 2
16) How many different 6-letter arrangements can be formed using the letters in the word
“ABSENT,” if each letter is used only once?
(1) 6
(2) 36
(3) 720
(4) 46,656
17) How many different two-letter arrangements can be formed using the letters in the word
"BROWN"?
(1) 10
(2) 12
(3) 20
(4) 25
18) John is going to line up his four golf trophies on a shelf in his bedroom. How many different
possible arrangements can he make?
(1) 24
(2) 16
(3) 10
(4) 4
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Part IV: Short Answer - Mixed Review
Directions: Express your answers as either a lowest-terms fraction or as a decimal to the nearest
hundredth.
19) Mr. Yee has 10 boys and 15 girls in his mathematics class. If he chooses two students at
random to work on the blackboard, what is the probability that both students chosen are
girls?
20) Sixty-five percent of the students attending OMS say that math is their favorite subject.
a) If 1,000 students attend OMS, how many students like math?
b) What percent of the students do not like math?
21) A coin is tossed and a letter is pulled from a bag that contains the letters A, B, C, D.
a) Find P(heads and a vowel)
b) Find P(Tails and a consonant)
22) Explain the difference between theoretical and experimental probability:
23) In a 52 card deck, what is the probability that you will pick two Queens:
a) without replacement?
b) with replacement?
24) Could 4 represent a value for probability? Why or why not?
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25) Peter is starting a new job. He purchased 3 new suits (black, gray and tan), 2 shirts (white
and pink) and 2 ties (striped and blue).
a) Draw a tree diagram and list the sample space to show all possible outcomes.
b) Using the counting principle, state how many possible outfits he can wear?
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