Topic: Sets
What is an element?
an object in a set
What is this called?
Venn Diagram
U={1,2,3,4,5,6,7,8} A={3,4,5} B={5,6,7}
Find
AnnB
5
How many are both Cats and Bees only?
1
7 people were surveyed. It was found that they owned the following vehicles.
What is the probability that they own a Car given that they own a Bike?
2/4
Topic: Probability
What is the formula for the Probability of a single event?
P(E)=
(n(E))/(n(S))
Topic: Sets
What is a SET?
A collection of elements
How do we read this symbol?
"|"
"given that"
"such that"
U={1,2,3,4,5,6,7,8} A={3,4,5} B={5,6,7}
Find
A uu B
3,4,5,6,7
How many Cats?
7
What is the probability of landing a Heads and rolling a 3 on a die?
1/12
Topic: Probability
What is the formula for the Probability of an Independent Event?
P(A nnB) = P(A) * P(B)
Topic: Sets
Wat is the Complement of set A?
All elements in the Universal set, U, that are not in A
What is this asking for?
n(A)
the number of elements (items) in set A
U={1,2,3,4,5,6,7,8} A={3,4,5} B={5,6,7}
Find A'
1,2,6,7,8
How many are only Bees?
2
What is the probability of getting a Pink Flower then a Purple Flower with replacement?
P(Pink then Purple)
12/49
Topic: Probability
What is the formula for the Probability of a Dependent Event?
P(AnnB) = P(A) * P(B|A)
Topic: Sets
The Universal Set U contains ______.
all objects
What is this symbol?
The empty set
U={1,2,3,4,5,6,7,8} A={3,4,5} B={5,6,7}
Find B'
1,2,3,4,8
How many have all three?
2
The probability of rain this week is 2/7. What are the odds that it will rain tomorrow?
2/5
Topic: Probability
What is the formula of the Conditional Probability?
P(A|B) = (P(AnnB))/(P(B))
Topic: Probabilities
What is a Probability?
How likely an event can occur
What are these symbols called?
sube sub
Subset
sube
Proper subset
sub
U={1,2,3,4,5,6,7,8} A={3,4,5} B={5,6,7}
Is the empty set a subset of U?
yes
How many Cats that are not Bees?
4
What is the probability of getting 2 Pink Flowers without replacement?
P(2 Pink Flowers)
6/42
Topic: Sets
What is the equation to find the number of subsets?
2k
Topic: Probabilities
What is a Sample Space?
the set of all possible outcomes
What type of sets are these?
Disjoint Sets
U={1,2,3,4,5,6,7,8} A={3,4,5} B={5,6,7}
Find
A'nn B'
1,2,8
How many Cats or Bees that are not Aliens?
6
PetSmart only has 6 pets to adopt from. What is the probability of someone adopting a bunny on the first day and then puppy on the second day?
P(Bunny then Puppy)
1/30
Topic: Probability
What is the formula to finding the Odds in Favor for an Event?
(P(E))/(P(E')