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[AP Statistics] 5.b1 Simulation Problems + Mixed Probability Practice

Last updated about 1 month ago
30 questions
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Round to the nearest 3 decimal places.

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Check the hint for the answer

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Check the hint for the answer

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Check the hint for the answer

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Check the hint for the answer

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Check the hint for the answer

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Check the hint for the answer

Some mixed probability questions are below.
On the AP Exam (and my test), you are provided with the following two equations:

General Addition Rule



Remember, if two events A and B are Mutually Exclusive, both events CANNOT happen at the same time. You can check this by verifying that P(A and B) = 0.

Applying that to the formula above, it means that you can calculate the probability of A or B by simply adding the probabilities together, assuming they are Mutually Exclusive.

P(A or B) = P(A) + P(B), if A & B are mutually exclusive
The other equation you are given:

Conditional Probability equation


This equation can be used to calculate P(A|B). Alternatively, it can be rearranged to calculate
P(A and B), shown below

P(A n B) = P(B)*P(A|B)

Remember, if events A and B are Independent, then knowing whether or not event A happen has NO impact on whether B happens.
P(A|B)=P(A|BC)=P(A)

This also means the equation above becomes:

P(A and B) = P(B) * P(A), for independent events.
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Use the Conditional Probability Equation to solve this.

Answer as a decimal rounded to two places

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Answer as a fraction that is NOT simplified

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Answer as a decimal rounded to two places

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Explain your answer

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Are "Rooting for the Home Team" and "Rooting for the Away Team" mutually exclusive events? Why or why not?

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Explain

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Are "Rooting for the Home Team" and "Rooting for the Away Team" independent events? Why or why not?

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Explain

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Answer as a decimal rounded to two places

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Answer as a decimal rounded to two places

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Answer as a fraction that is NOT simplified

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"With replacement" means you put the candy back into the bag before you select another one. This makes the two draws independent.

Answer as a decimal rounded to two places

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Answer as a decimal rounded to two places

Hint: May be easier to find the complement (opposite) of what they are asking for, then subtract that from 1

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Answer as a decimal rounded to two places

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Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.