[APMA 3100] Probability Flash Cards
Question and answers already passed
2025/2026
Complement - correct answer ✔The set of all elements not in the set
Mutually Exclusive - correct answer ✔A & B do not intersect
Collectively Exhaustive - correct answer ✔Union of sets A1 - An encompass all of S
Conditional Probability - correct answer ✔P[A|B] = P[AB]/P[B]
Baye's Theorem - correct answer ✔P[B|A] = P[A|B] P[B] / P[A]
Independence - correct answer ✔P[AB] = P[A] P[B]
Disjoint - correct answer ✔P[AB] = O
n choose k - correct answer ✔n!/k!(n-k)!
A UVa student is selected at random. Let V denote the event that the selected individual
owns a Visa card, and let M denote possession of a MasterCard. Assume that 50% of
all students have a Visa card, while 40% own a MasterCard. Finally, 25% own both.
(a) [5 pts] What is the probability that the randomly selected student has neither card? - correct answer
✔1 - P[V U M] = 0.35
Question and answers already passed
2025/2026
Complement - correct answer ✔The set of all elements not in the set
Mutually Exclusive - correct answer ✔A & B do not intersect
Collectively Exhaustive - correct answer ✔Union of sets A1 - An encompass all of S
Conditional Probability - correct answer ✔P[A|B] = P[AB]/P[B]
Baye's Theorem - correct answer ✔P[B|A] = P[A|B] P[B] / P[A]
Independence - correct answer ✔P[AB] = P[A] P[B]
Disjoint - correct answer ✔P[AB] = O
n choose k - correct answer ✔n!/k!(n-k)!
A UVa student is selected at random. Let V denote the event that the selected individual
owns a Visa card, and let M denote possession of a MasterCard. Assume that 50% of
all students have a Visa card, while 40% own a MasterCard. Finally, 25% own both.
(a) [5 pts] What is the probability that the randomly selected student has neither card? - correct answer
✔1 - P[V U M] = 0.35
