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UNIT 9: Probability
Review
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#1
What is the difference
between theoretical and
experimental probability?
#1 Answer
Experimental Probability requires and
experiment and data collection.
Theoretical Probability predicts the
outcome of an event by using a ratio
of the number of times the event can
occur to the total number of
possibilities.
#2
The probability of a given
event can be
represented as a ratio
between what two
numbers?
#2 Answer
0 and 1
#3
As the number of trials ____,
the experimental probability
of an event approaches the
theoretical probability of that
event.
# 3 Answer
higher or larger
#4
Five cards are labeled
with the letters
{M, A, R, C, H}.
Find P(R)
#4 Answer
1
5
#5
If you flip a coin 40
times, about what
percent of the tosses
would be expected to
land tail-side up?
#5 Answer
50%
#6
If you roll a six-sided
number cube, what is the
probability of rolling an
odd number?
#6 Answer
1
2
#7
What is the probability of
pulling out a pair of red
socks from a drawer that
has 4 blue, 6 white, 5 red, 3
black, and 2 brown pairs of
socks?
#7 Answer
1
4
#8
If the weatherman says there is
a 75% chance of rain, what
chance is it that it won’t rain?
#8 Answer
25%
#9
You have 2 quarters, 6
dimes, 5 nickels, and 3
pennies in your pocket.
What is the probability of
pulling out a dime?
#9 Answer
3
8
#10
What is the probability of
spinning an even number on a
spinner with a sample space of
the numbers 1, 2, 3, 4, 5, 6, 7,
8? Write the answer as a
decimal, fraction, and a
percent.
#10 Answer
1
.5, 50%,
2
#11
What is the probability of
a day of the week
beginning with the letter
S?
#11 Answer
2
7
#12
After tossing a coin 50 times,
Joey had tossed heads 34
times and tails 16 times.
This was an example of
what type of probability?
#12 Answer
Experimental Probability
#13
#13 Answer
D. 68%
#14
Miriam spun the pointer on a spinner
35 times. Her results are in the
table. What was her experimental
probability that the spinner will land
on green?
#14 Answer
B.
11
35
#15
Kendra rolled a number cube
and got 5 six times in a row.
Based on her results, what is
the probability of rolling a 5?
A. 100%
C. 50%
B. 16.7%
D. 30%
#15 Answer
A. 100%
#16
If you roll a fair number cube 300
times, which is the most likely
number of times you would roll a
5?
A. 10
C. 150
B. 50
D. 300
#16 Answer
B. 50
#17
A coin is tossed 18 times. Which
experimental outcome is most
consistent with theoretical
probabilities?
A.
B.
C.
D.
6 heads and 12 tails
9 heads and 9 tails
4 heads and 14 tails
10 heads and 8 tails
#17 Answer
B. 9 heads and 9 tails
#18
Chantal tossed a fair coin 100 times.
How many heads and tails are most
likely out of the 100 tosses?
A.
B.
C.
D.
25 heads and 75 tails
0 heads and 100 tails
40 heads and 60 tails
50 heads and 50 tails
#18 Answer
D. 50 heads and 50 tails
#19
Suppose you plan to roll two
number cubes 72 times. How
many times would you expect to
get doubles?
A. 6
C. 12
B. 17
D. 36
#19 Answer
C. 12
Set up a proportion:
6
x

36 72
#20
What is the probability of getting
a six when rolling a fair
number cube one time?
A. 12.5%
C. 20%
B. 16.7%
D. 25%
#20 Answer
B. 16.7%
#21
Which of these events has a probability
of 0?
A. Drawing a green marble from a bag
containing three red marbles.
B. A fair coin landing on tails
C. A number cube landing on 3
D. Two number cubes landing with a
sum of 12 on the faces.
#21 Answer
A. Drawing a green marble from
a bag containing three red
marbles.
#22
A bag contains one red marble and
one green marble. You pick a red
marble and you put it back. If you
randomly select another marble,
what is the probability that it will
be green?
A) 0
C) .5
B) .25
D) 1
#22 Answer
C) .5
#23
What is the sample space for the
experiment consisting of rolling a
standard number cube?
A. {2, 4, 6}
B. B. {1, 2, 3}
C. {1, 2, 3, 4, 5, 6}
D. {All real numbers}
#23 Answer
8. C
#24
Which answer could NOT be a sample
space for an experiment consisting of
drawing one card from a standard
deck?
A.
B.
C.
D.
{black card, red card}
{ace, two, three…queen, king}
{heart, diamond, club, spade}
{suit, number, picture card}
#24 Answer
D. {suit, number, picture card}
#25
How many possible outcomes are
in the sample space for rolling a
pair of number cubes?
A. 6
C. 36
B. 12
D. 72
#25 Answer
C. 36