Math 104 Final Exam with verified answers
If a coin is flipped 3 times, how many elements is in the sample space?
- .......ANSWERS 🔷🖊✔✔8
Which of the following is impossible for the probability of an event? - .......ANSWERS
🔷🖊✔✔1 1/2 (one and a half)
If an event has 3/5 chance of happening, what is the odds against the event?
- .......ANSWERS 🔷🖊✔✔2:3
Won't happen two times but will happen 3 times
Conditional Probability - .......ANSWERS 🔷🖊✔✔We want the probability of an event
A, given the existence of another event B
How do you solve conditional probability - .......ANSWERS 🔷🖊✔✔instead of working
with original sample space, we modify it to an adjusted sample space, one that is
consistent with event B
A U B - .......ANSWERS 🔷🖊✔✔A or B
A (upside down U) - .......ANSWERS 🔷🖊✔✔A and B
Independent events - .......ANSWERS 🔷🖊✔✔P(A) x P(B) = P(AB)
2 events, A and B, are independent if the probability of A and B equals P(a) x P(b)
When are two events not independent of each other - .......ANSWERS 🔷🖊✔✔If they
are all the same
, Ex: P(a) = 1/2, P(b) = 1/2, P(ab) = 1/2
Complement of the event - .......ANSWERS 🔷🖊✔✔Can be denoted as A^C
Ex: roll a dice and the event a is 5, so A complement is you roll all the other
numbers except 5
Don't Pass Bet - .......ANSWERS 🔷🖊✔✔Means that you are betting that the shooter
will lose on their next roll
Order matters - .......ANSWERS 🔷🖊✔✔P(?,?)
Order does not matter - .......ANSWERS 🔷🖊✔✔C(?,?)
C(6,3) - .......ANSWERS 🔷🖊✔✔6x5x4/3x2x1 = 20
P(6,3) - .......ANSWERS 🔷🖊✔✔6x5x4 = 120
How many suits are in a deck of cards, and what are they? - .......ANSWERS 🔷🖊
✔✔4, and they are diamonds, hearts, clubs, and spades
How many of each suit are there in a deck? - .......ANSWERS 🔷🖊✔✔13 of each
Ex: 13 diamonds
How many of each rank are in a deck of cards? - .......ANSWERS 🔷🖊✔✔13
Ex: 1-10 and then KQJ
How many jacks are there in deck of cards? - .......ANSWERS 🔷🖊✔✔4, Jack of
spades, Jack of hearts, Jack of clubs, and Jack of diamonds
If a coin is flipped 3 times, how many elements is in the sample space?
- .......ANSWERS 🔷🖊✔✔8
Which of the following is impossible for the probability of an event? - .......ANSWERS
🔷🖊✔✔1 1/2 (one and a half)
If an event has 3/5 chance of happening, what is the odds against the event?
- .......ANSWERS 🔷🖊✔✔2:3
Won't happen two times but will happen 3 times
Conditional Probability - .......ANSWERS 🔷🖊✔✔We want the probability of an event
A, given the existence of another event B
How do you solve conditional probability - .......ANSWERS 🔷🖊✔✔instead of working
with original sample space, we modify it to an adjusted sample space, one that is
consistent with event B
A U B - .......ANSWERS 🔷🖊✔✔A or B
A (upside down U) - .......ANSWERS 🔷🖊✔✔A and B
Independent events - .......ANSWERS 🔷🖊✔✔P(A) x P(B) = P(AB)
2 events, A and B, are independent if the probability of A and B equals P(a) x P(b)
When are two events not independent of each other - .......ANSWERS 🔷🖊✔✔If they
are all the same
, Ex: P(a) = 1/2, P(b) = 1/2, P(ab) = 1/2
Complement of the event - .......ANSWERS 🔷🖊✔✔Can be denoted as A^C
Ex: roll a dice and the event a is 5, so A complement is you roll all the other
numbers except 5
Don't Pass Bet - .......ANSWERS 🔷🖊✔✔Means that you are betting that the shooter
will lose on their next roll
Order matters - .......ANSWERS 🔷🖊✔✔P(?,?)
Order does not matter - .......ANSWERS 🔷🖊✔✔C(?,?)
C(6,3) - .......ANSWERS 🔷🖊✔✔6x5x4/3x2x1 = 20
P(6,3) - .......ANSWERS 🔷🖊✔✔6x5x4 = 120
How many suits are in a deck of cards, and what are they? - .......ANSWERS 🔷🖊
✔✔4, and they are diamonds, hearts, clubs, and spades
How many of each suit are there in a deck? - .......ANSWERS 🔷🖊✔✔13 of each
Ex: 13 diamonds
How many of each rank are in a deck of cards? - .......ANSWERS 🔷🖊✔✔13
Ex: 1-10 and then KQJ
How many jacks are there in deck of cards? - .......ANSWERS 🔷🖊✔✔4, Jack of
spades, Jack of hearts, Jack of clubs, and Jack of diamonds
