
Conditional Probability and Transformations Quiz
Mathematics
11th Grade

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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given two events <katex latex="A"></katex> and <katex latex="B"></katex> with <katex latex="P(A) = 0.4"></katex>, <katex latex="P(B) = 0.5"></katex>, and <katex latex="P(A \cap B) = 0.2"></katex>, what is <katex latex="P(A|B)"></katex>?
<katex latex="0.2"></katex>
<katex latex="0.4"></katex>
<katex latex="0.5"></katex>
<katex latex="0.6"></katex>
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If <katex latex="P(A) = 0.3"></katex>, <katex latex="P(B) = 0.6"></katex>, and <katex latex="P(A \cap B) = 0.18"></katex>, what is <katex latex="P(A \cup B)"></katex>?
<katex latex="0.48"></katex>
<katex latex="0.72"></katex>
<katex latex="0.78"></katex>
<katex latex="0.88"></katex>
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A point <katex latex="(2, 3)"></katex> is rotated <katex latex="90^\circ"></katex> counterclockwise about the origin. What are the coordinates of the image?
<katex latex="(3, 2)"></katex>
<katex latex="(-3, 2)"></katex>
<katex latex="(-2, 3)"></katex>
<katex latex="(-3, -2)"></katex>
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of translating the point <katex latex="(4, -1)"></katex> by the vector <katex latex="(2, 5)"></katex>?
<katex latex="(6, 4)"></katex>
<katex latex="(2, 4)"></katex>
<katex latex="(6, -6)"></katex>
<katex latex="(2, -6)"></katex>
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a point <katex latex="(x, y)"></katex> is reflected over the <katex latex="y"></katex>-axis, what are the coordinates of its image?
<katex latex="(x, -y)"></katex>
<katex latex="(-x, y)"></katex>
<katex latex="(-x, -y)"></katex>
<katex latex="(y, x)"></katex>
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given <katex latex="P(A|B) = 0.7"></katex> and <katex latex="P(B) = 0.5"></katex>, what is <katex latex="P(A \cap B)"></katex>?
<katex latex="0.35"></katex>
<katex latex="0.7"></katex>
<katex latex="0.2"></katex>
<katex latex="0.5"></katex>
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If <katex latex="P(A) = 0.5"></katex>, <katex latex="P(B) = 0.4"></katex>, and <katex latex="A"></katex> and <katex latex="B"></katex> are mutually exclusive, what is <katex latex="P(A \cup B)"></katex>?
<katex latex="0.2"></katex>
<katex latex="0.4"></katex>
<katex latex="0.5"></katex>
<katex latex="0.9"></katex>
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