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Math Problems
Algebra 1
Outcomes of compound events
How did Romans learn about Greek culture?
\newline
A. They moved to Greece.
\newline
B. Greek colonists settled nearby.
\newline
C. They sold slaves to Greece.
\newline
D. Greek leaders met with Roman leaders.
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1
1
1
. The figures below are proportional. Find
\newline
3
3
3
. If Tom lines up
15
15
15
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If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?
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If you flip three fair coins, what is the probability that you'll get at least two heads?
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If you roll two fair six-sided dice, what is the probability that the sum is
4
4
4
or higher?
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If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
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If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the second flip, and another tail on the third flip?
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If you roll two fair six-sided dice, what is the probability that the sum is
5
5
5
or lower?
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If you flip three fair coins, what is the probability that you'll get all three heads?
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If you roll two fair six-sided dice, what is the probability that the sum is
9
9
9
or higher?
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If you roll two fair six-sided dice, what is the probability that the dice show the same number?
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If you roll two fair six-sided dice, what is the probability that at least one die shows a
3
3
3
?
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If you flip three fair coins, what is the probability that you'll get all three tails?
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If you flip three fair coins, what is the probability that you'll get heads on the first two flips and tails on the last flip?
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If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip?
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If you flip three fair coins, what is the probability that you'll get two tails and one head in any order?
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A five-digit number divisible by
3
3
3
has to be formed using the numerals
0
0
0
,
1
1
1
,
2
2
2
,
3
3
3
,
4
4
4
and
5
5
5
without repetition. The total number of ways in which this can be done is
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Consider the table shown.
\newline
\begin{tabular}{ccc}
\newline
x
x
x
&
f
(
x
)
f(x)
f
(
x
)
&
g
(
x
)
g(x)
g
(
x
)
\\
\newline
\hline
1
1
1
&
2
2
2
&
2
2
2
\\
\newline
2
2
2
&
3
3
3
&
2
2
2
\\
\newline
3
3
3
&
5
5
5
&
1
1
1
\\
\newline
5
5
5
&
6
6
6
&
4
4
4
\newline
\end{tabular}
\newline
What is the value of
f
(
g
(
2
)
)
f(g(2))
f
(
g
(
2
))
?
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9
9
9
. A
5
5
5
number spinner is spun and a coin is tossed. Draw a tree diagram showing all possible outcomes.
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Ronald Fast Food randomly selected
20
%
20 \%
20%
of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at
4
4
4
locations. Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?
\newline
Choose
1
1
1
answer:
\newline
(A)
4
4
4
\newline
(B)
12
12
12
\newline
(C)
16
16
16
\newline
(D)
20
20
20
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You flip a coin and roll a die. How many outcomes are possible?
\newline
______
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