Download Probability - Review

Name: _______________________
Teacher: _____________________
Date: _____________
Period: ___________
Review # ______
Probability
1) Mary chooses an integer at random from 1 to 6. What is the probability that the integer she
chooses is a prime number?
5
3
2
4
(1)
(2)
(3)
(4)
6
6
6
6
2) A box contains six red balls and four white balls. What is the probability of selecting a black
ball at random from the box?
1
6
4
6
(1)
(2)
(3)
(4)
10
10
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 or even will occur on one toss of the number cube?
1
2
5
4
(1)
(2)
(3)
(4)
6
6
6
6
4) Are the events in Question #3 mutually exclusive or not? Why?
5) 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.
6) 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
7) Marilyn selects a piece of candy at random from a jar that contains four peppermint, five
cherry, three butterscotch, and two lemon candies. What is the probability that the candy she
selects is not a cherry candy?
5
9
14
(1) 0
(2)
(3)
(4)
14
14
14
8) 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
9) 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 1
2
2


(1)
(2)
(3)
(4)
20 20
20 19
20
20!
10) 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
14
11) 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?
12) 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
13) The value of 5! is
(1)
1
5
(2) 5
14) What is the value of
(1) 1,680
(3) 20
(4) 120
(3) 2!
(4) 4!
8!
?
4!
(2) 2
15) 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
16) How many different two-letter arrangements can be formed using the letters in the word
"BROWN"?
(1) 10
(2) 12
(3) 20
(4) 25
17) 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
18) Sixty-five percent of the students attending OMS say that math is their favorite subject.
a) What is the probability that the next person you speak to will like math?
b) What percent of the students do not like math?
19) 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)
20) Explain the difference between theoretical and experimental probability:
21) In a 52 card deck, what is the probability that you will pick two Queens:
a) without replacement?
b) with replacement?
22) Could 4 represent a value for probability? Why or why not?
23) 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?