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[AP Statistics] 5.3a Conditional Probability

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Last updated 7 months ago
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Question 1
1.


Answer as a fraction that is NOT simplified

Question 2
2.


You would read this notation as "The Probability of a student being 'Yes Taco Tongue' GIVEN that they are 'Yes Evil Eyebrow'"

Question 3
3.

Question 4
4.

Based on the answers above, are 'Yes Taco Tongue" and "Yes Evil Eyebrow" independent?

Question 5
5.

Explain your answer above

You may be wondering what the data would look like if Evil Eyebrow and Taco Tongue WERE independent. The next few questions will lead you through completing this table.


Question 6
6.

What percent of all EKHS Seniors are Yes Taco Tongue?

Answer as a decimal rounded to two places

Question 7
7.

If Taco Tongue and Evil Eyebrow are independent, what percent of the Yes Evil Eyebrows should be Yes Taco Tongue?

Answer as a decimal rounded to two places

Question 8
8.

How many people would this be?

Question 9
9.
Complete the table, using the same logic as above.




Yes Taco Tongue AND No Evil Eyebrow _______
No Taco Tongue AND Yes Evil Eyebrow _______
No Taco Tongue AND No Evil Eyebrow _______
Question 10
10.

Find each of the following using the independent table you just created.


Answer as a fraction that is NOT simplified

Question 11
11.

Answer as a fraction that is NOT simplified

Question 12
12.

Answer as a fraction that is NOT simplified

Question 13
13.

What do you notice about all three of the previous answers?


Frequently confused with Mutually Exclusive events. Remember that Mutually Exclusive events can't even happen at the same time. If one happens, you KNOW the other one didn't, so they are NOT independent.
Question 14
14.

Find P(T|E)

Answer as a decimal rounded to two places

Question 15
15.

Interpret this value in context

Question 16
16.


Write as a probability statement using correct symbols:

Question 17
17.

Calculate the probability.

Answer as a decimal rounded to two places

Question 18
18.

Answer as a decimal rounded to two places

Question 19
19.

Answer as a decimal rounded to two places

Question 20
20.

Answer as a decimal rounded to two places

Question 21
21.

Answer as a decimal rounded to two places

Question 22
22.


1= smallest
4 = largest

  1. P(T|B)
  2. P(B|T)
  3. P(B)
  4. P(T)
Question 23
23.

Explain your ranking

Question 24
24.

Question 25
25.

Explain

Question 26
26.

Answer as a decimal rounded to two places

Question 27
27.

Question 28
28.


Green = Blue

Question 29
29.

Explain

Question 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.