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Biblioteka

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

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Posljednje ažuriranje 7 months ago
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Some mixed probability questions are below.

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Pitanje 1
1.

Pitanje 2
2.

Pitanje 3
3.

Pitanje 4
4.

Pitanje 5
5.

Pitanje 6
6.

Pitanje 7
7.

Round to the nearest 3 decimal places.

Pitanje 8
8.

Check the hint for the answer

Pitanje 9
9.

Check the hint for the answer

Pitanje 10
10.

Check the hint for the answer

Pitanje 11
11.

Check the hint for the answer

Pitanje 12
12.

Check the hint for the answer

Pitanje 13
13.

Check the hint for the answer

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.

Pitanje 14
14.

Use the Conditional Probability Equation to solve this.

Answer as a decimal rounded to two places

Pitanje 15
15.

Answer as a fraction that is NOT simplified

Pitanje 16
16.

Answer as a decimal rounded to two places

Pitanje 17
17.

Pitanje 18
18.

Pitanje 19
19.

Explain your answer

Pitanje 20
20.

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

Pitanje 21
21.

Explain

Pitanje 22
22.

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

Pitanje 23
23.

Explain

Pitanje 24
24.

Answer as a decimal rounded to two places

Pitanje 25
25.

Answer as a decimal rounded to two places

Pitanje 26
26.

Answer as a fraction that is NOT simplified

Pitanje 27
27.

"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

Pitanje 28
28.

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

Pitanje 29
29.

Answer as a decimal rounded to two places

Pitanje 30
30.

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.