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