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Math Problems
Algebra 1
Probability of independent and dependent events
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
and then picking a
4
4
4
?
\newline
Write your answer as a percentage.
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Asia is doing an art project with different colours of sand to be displayed in a clear
2
2
2
litre jar. She wants to use
1
2
\frac{1}{2}
2
1
litre of red sand,
1
4
\frac{1}{4}
4
1
litre of blue sand,
3
8
\frac{3}{8}
8
3
litre of green sand, and
5
8
\frac{5}{8}
8
5
litre of purple sand. Is the jar large enough for Asia's project? Explain how you know.
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number less than
6
6
6
and then rolling a number greater than
5
5
5
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number less than
4
4
4
and then rolling a number greater than
3
3
3
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number less than
4
4
4
and then rolling a number less than
4
4
4
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You flip a coin twice. What is the probability of getting heads and then getting heads?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number greater than
4
4
4
and then rolling a
4
4
4
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number less than
4
4
4
and then rolling a
3
3
3
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number greater than
5
5
5
and then rolling a
6
6
6
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a
6
6
6
and then rolling a number greater than
5
5
5
?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
_____
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You flip a coin twice.
\newline
What is the probability of getting tails and then getting heads?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You flip a coin twice.
\newline
What is the probability of getting tails and then getting tails?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number greater than
3
3
3
and then rolling a number less than
4
4
4
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
%
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You roll a
6
6
6
-sided die two times.
\newline
What is the probability of rolling a number greater than
3
3
3
and then rolling a number greater than
3
3
3
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
%
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You grab a card at random. Without putting the first card back, you grab a second card at random.
\newline
What is the probability of grabbing a Queen and then grabbing a King?
\newline
Write your answer as a fraction or whole number.
\newline
______
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You choose a card at random. Without putting the first card back, you choose a second card at random. What is the probability of choosing a
10
10
10
and then choosing a Jack? Write your answer as a fraction or whole number.
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You pick a card at random. Without putting the first card back, you pick a second card at random. What is the probability of picking an
8
8
8
and then picking a
9
9
9
? Write your answer as a fraction or whole number..
\newline
______
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You select a card at random. Without putting the first card back, you select another card at random. What is the probability of selecting a
3
3
3
and then selecting a
4
4
4
? Write your answer as a fraction or whole number.
\newline
______
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You draw a card at random. Without replacing the first card, you draw a second card at random. What is the probability of drawing a
5
5
5
and then a
6
6
6
? Write your answer as a fraction or whole number.
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You roll a
6
6
6
-sided die two times. What is the probability of rolling a number greater than \(3\) and then rolling a number less than \(4\)? Write your answer as a percentage.
\newline
____ `%`
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