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Exam (elaborations)

Math 104 Final Exam with verified answers

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  • MATH 104
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  • MATH 104

Math 104 Final Exam with verified answers

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  • October 24, 2024
  • 7
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • MATH 104
  • MATH 104
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Fordenken
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

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