Name _____________________________
Date ___________________
Chapter 10 Test Review 3
1. You roll a six-sided die whose sides are
numbered from 1 through 6. Find:
2. A card is randomly selected from a standard
deck of 52 cards. What is the P (ace or face
card)?
(a) P(4)
(b) P(rolling an odd number)
(c) P(rolling a number less than 5)
(d) P(rolling a 1 or a 4)
(e) P(rolling a 1, 2, 3, 4, 5, or 6)
(f) P(not 4)
(g) P(7)
3. A card is randomly selected from a standard
deck of 52 cards. What is the P (heart or face
card)?
4. There are 300 seniors at Salt Lake City High. 40
of them take Calculus and 55 of them take
Physics. Of these, 25 students take both Calculus
and Physics. What is the probability that a
randomly selected student takes Calculus or
Physics?
5. A box contains 7 green marbles, 6 blue marbles
and 8 orange marbles. Without looking, you
choose two marbles out of the bag. What is the
probability that the first two picked will both be
green if you don’t replace the marble after the
first pick?
6. A face-down deck of cards contains three hearts,
six diamonds, four clubs and six spades. What is
the probability that the first two cards drawn will
both be diamonds if the cards are not replaced
after each pick?
7. There are 25 kids in your class and your teacher
is choosing 4 to help the secretary move books.
How many ways can your teacher randomly
choose 4 students?
8. Of 162 students honored at an academic awards
banquet, 48 won awards for mathematics and 78
won awards for English. Fourteen of these
students won awards for both mathematics and
English. One of the 162 students is chosen at
random to be interviewed for a newspaper
article. What is the probability that the student
interviewed won an award for English or
Mathematics?
9. A circular spinner is divided into 5 equal parts.
If the spinner is spun 3 times, what is the
probability that an even number is spun all 3
times?
10. The game show contestant spins a spinner with
the letters G, I, Y and J on it, then either an easy
or hard question is picked randomly for her.
What is the probability that the spinner will
stop on the letter Y and she is given an easy
question?
11. Two cards are drawn from a standard 52-card
12. You are about to attack a dragon in a role
playing deck. What is the probability that the
playing game. You will throw two dice, one
draw will yield an ace and a face card? Assume
numbered one to eight and the other with the
the first card is not replaced after you pick it.
letters A through F. What is the probability that
you will roll the values six and A?
13. A bag contains a total of 8 marbles. There are
only 5 blue and 3 green marbles in the bag.
Find the probability of pulling out a blue
marble twice if you do replace the first marble.
14. You put a CD that has 8 songs in your CD
player. You set the player to play the songs at
random. The player plays all 8 songs without
repeating any song. In how many ways the
songs are played in the same order they are
listed on the CD?
15. What are all the different ways the letters
HTAM can be arranged
16. What are the odds of getting four heads and no
tails out of flipping four coins?
17. What is the probability of drawing an ace and a 18. Five different color balls are in a box. If you
black king on two draws from the same deck
draw out three at random, how many different
(without replacing cards)?
ways can be created?
19. Determine if the situation involves a
permutation or a combination, then find the
answer.
20. Decide if the problem is an example of a
permutation or combination. Then evaluate
each one. Show proper notation, and your work.
a. In how many ways can 12 members of a jury
be selected from a jury pool of 15?
a. How many teams of 4 horses would be made
if there were 9 horses in the stable?
b. In how many ways can a foreman, assistant
foreman, and secretary be selected from a 12member group?
b. Mike has nine baseball trophies to arrange
on the shelf. How many different ways can they
be arranged?
c. The teacher has listed 30 books as book
report options. You must read 5. How many
different sets of 5 books could you have chosen
to read?
d. In how many ways can 10 people wait in
line for concert tickets?