MATH 113 Test 4 questions n answers
rated A+ 2025/2026
permutation - ANS ✔✔A subset where order matters
combination - ANS ✔✔A subset where order does not matter
with replacement - ANS ✔✔Any element can appear in every position
without replacement - ANS ✔✔No element can appear more than once
factorial - ANS ✔✔A counting number times every smaller counting number
Bernoulli trial - ANS ✔✔Probability experiment of multiple stages, where the result of any stage
is independent of any other stage
Absorbing Markov chain - ANS ✔✔There is at least one state that, once the experiment has
entered the state, it never leaves it
Fundamental matrix for an absorbing Markov chain - ANS ✔✔Contains entries that, at position
aij, give the number of expected times you will be in state j when you are currently in state i
Conditional probability - ANS ✔✔The probability a second event has occurred when you know
the a first event has occurred
Product rule - ANS ✔✔P(E∩F) = P(E) * P(F|E)
rated A+ 2025/2026
permutation - ANS ✔✔A subset where order matters
combination - ANS ✔✔A subset where order does not matter
with replacement - ANS ✔✔Any element can appear in every position
without replacement - ANS ✔✔No element can appear more than once
factorial - ANS ✔✔A counting number times every smaller counting number
Bernoulli trial - ANS ✔✔Probability experiment of multiple stages, where the result of any stage
is independent of any other stage
Absorbing Markov chain - ANS ✔✔There is at least one state that, once the experiment has
entered the state, it never leaves it
Fundamental matrix for an absorbing Markov chain - ANS ✔✔Contains entries that, at position
aij, give the number of expected times you will be in state j when you are currently in state i
Conditional probability - ANS ✔✔The probability a second event has occurred when you know
the a first event has occurred
Product rule - ANS ✔✔P(E∩F) = P(E) * P(F|E)