Question

What is P(A∪B) always equal to?

A. 1 - P(Ac ∩ Bc)
B. P(Ac ∩ Bc)
C. 1 - P(Ac ∪ Bc)
D. 1 - P(Ac)P(Bc)

Answer 1

The probability of the union of two events A and B, denoted as P(A∪B), can be found using the formula P(A∪B) = P(A) + P(B) - P(A∩B).

Step-by-step explanation:

The probability of the union of two events A and B, denoted as P(A∪B), can be found using the formula P(A∪B) = P(A) + P(B) - P(A∩B), where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A∩B) represents the probability of both events A and B occurring together.

Therefore, the answer to your question, 'What is P(A∪B) always equal to?' is option B:
`P(A_c \displaystyle\cap B_c)`.