Asked by Hannah Lagger on Sep 26, 2024
Verified
If events A and B are independent then:
A) P(A and B) = P(A) * P(B)
B) P(A and B) = P(A) + P(B)
C) P(B|A) = P(A)
D) None of these choices.
Independent Events
Two events that have no influence on each other's occurrence, meaning the probability of one does not affect the other.
P(A And B)
The probability that events A and B both occur, which can be calculated directly or via the multiplication rule for independent events.
P(B|A)
The likelihood of event B happening after event A has already taken place.
- Acquire knowledge of and delineate the idea of independent events in the context of probability.
Verified Answer
KS
Klyzer Seijuroabout 21 hours ago
Final Answer :
A
Explanation :
If events A and B are independent, then the occurrence of A does not affect the probability of B, and vice versa. Therefore, the probability of both events occurring together (A and B) is equal to the product of their individual probabilities (P(A) * P(B)).
Learning Objectives
- Acquire knowledge of and delineate the idea of independent events in the context of probability.