Question

Which equation implies that a and b are independent events? a. b. c. d. e.

Answer 1

Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which:

• P(B|A) is the probability of event B happening, given that A happened.

• $P(A \cap B)$ is the probability of both A and B happening.

• P(A) is the probability of A happening.

If A and B are independent events, we have that:

$P(A \cap B) = P(A)P(B)$.

Then, at the conditional formula:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)$

More can be learned about conditional probability at https://brainly.com/question/14398287

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