Definitions & Symbols
Venn Diagrams & Sets
Two Way Tables
Conditional Probability
Independent Events
100

an illustration that uses overlapping circles to show the logical relationship between 2+ sets of data sets.

venn diagram

100

How many students were included in the data?

13

100

How many women were surveyed?

42

100

When you see the phrase "given that" in a probability problem what does it do?

limits the total(denominator) number of subject your looking at

100

What are the two ways to prove that events are independent?

P(A | B) = P(A)

 p(A nn B) = P(A) * P(B)

200

a combination of two or more sets that includes ALL the elements from all sets.

union

200

How many students have names with 3 letters?

7

200

How many women did their grocery shopping in store?

26

200

What is the probability that a student failed the test given that they completed the homework?


3/24

1/8

13%

200

Determine if not eating breakfast and passing the test are independent events.

P(didn't eat breakfast | fail) = ______

P(didn't eat breakfast) = ____________

Independent or dependent?

.705 or 31/44

.595 or 91/153

dependent

300

nnn

intersection

300


("names ending with y" uu " names starting with A")

{Allison, Alex, Andy, Ally, Ann, Avi, Amy, Jimmy, Carly, Guy, Ivy}

300


How many total people were surveyed?

81

300

What is the probability that a students completed the homework given that they passed the test?

21/23

91%

300


Determine if eating breakfast and passing the test are independent. 


P(did eat breakfast | pass) = ________

P(did eat breakfast) = ____________

Independent or dependent?

.488 or 80/164

.488 or 100/205

independent

400

the collection of elements that are NOT in a set

complement

400


("names ending in y" nn "names with 3 letters")

{Amy, Guy, Ivy}

400

What is the probability that a person chosen randomly shops online?

21/81

26%

400

What is the probability that a student passed the test given that they did not complete the homework?

2/6

1/3

33%

400

Determine if eating breakfast and passing are independent events.


P(pass | didn't eat breakfast) = _________________

P(pass) = ___________________


independent or dependent?

.754 or 92/122

.754 or 138/183

independent

500

uuu

union

500


(Names starting with A)'

{Jimmy, Carly, Guy, Ivy, Bevi(?), Sue}

500


What is the probability that a person chosen at random is a man and that they shop online?

5/81

6%

500


What is the probability that a student who did not completed the homework failed the test?

4/6

2/3

66%

500

True or False:

If two events are independent that means that probability of one event occurring has no affect on the probability of the other event occurring.

True