12/06/24 Probability Rules Flashcards

Front

Probability of A or B

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Front

Probability of A and B (Independent)

Back

P(A ∩ B) = P(A) · P(B)

Front

Probability of A and B (Dependent)

Back

P(A ∩ B) = P(A) · P(B|A)

Front

Complement Rule

Back

P(A') = 1 - P(A)

Front

Practice: P(A) = 0.3, P(B) = 0.5, P(A ∩ B) = 0.1. Find P(A ∪ B).

Back

P(A ∪ B) = 0.3 + 0.5 - 0.1 = 0.7

Front

Practice: P(A) = 0.4, P(B|A) = 0.6. Find P(A ∩ B).

Back

P(A ∩ B) = 0.4 · 0.6 = 0.24

Front

Practice: P(A) = 0.7. Find P(A').

Back

P(A') = 1 - 0.7 = 0.3

Front

Practice: P(A) = 0.2, P(B) = 0.5. Find P(A ∩ B) if A and B are independent.

Back

P(A ∩ B) = 0.2 · 0.5 = 0.1

Front

Practice: P(A ∪ B) = 0.9, P(A) = 0.6, P(B) = 0.5. Find P(A ∩ B).

Back

P(A ∩ B) = 0.6 + 0.5 - 0.9 = 0.2

Front

Practice: P(A) = 0.8, P(B|A) = 0.25. Find P(A ∩ B).

Back

P(A ∩ B) = 0.8 · 0.25 = 0.2